461528655840 has 432 divisors, whose sum is σ = 1899967475952. Its totient is φ = 105491828736.

The previous prime is 461528655823. The next prime is 461528655857. The reversal of 461528655840 is 48556825164.

461528655840 is a `hidden beast` number, since 4 + 6 + 1 + 5 + 2 + 86 + 558 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (461528655823) and next prime (461528655857).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×461528655840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1783992 + ... + 2026248.

It is an arithmetic number, because the mean of its divisors is an integer number (4398072861).

Almost surely, 2^461528655840 is an apocalyptic number.

461528655840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461528655840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949983737976).

461528655840 is an abundant number, since it is smaller than the sum of its proper divisors (1438438820112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461528655840 is a wasteful number, since it uses less digits than its factorization.

461528655840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242301 (or 242274 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 461528655840 in words is "four hundred sixty-one billion, five hundred twenty-eight million, six hundred fifty-five thousand, eight hundred forty".