461007735552 has 576 divisors, whose sum is σ = 1689488640000. Its totient is φ = 120743903232.

The previous prime is 461007735509. The next prime is 461007735607. The reversal of 461007735552 is 255537700164.

It is a happy number.

461007735552 is a `hidden beast` number, since 4 + 61 + 0 + 0 + 7 + 7 + 35 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 461007735498 and 461007735507.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93717349 + ... + 93722267.

It is an arithmetic number, because the mean of its divisors is an integer number (2933140000).

Almost surely, 2^461007735552 is an apocalyptic number.

461007735552 is a gapful number since it is divisible by the number (42) 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 461007735552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844744320000).

461007735552 is an abundant number, since it is smaller than the sum of its proper divisors (1228480904448).

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

461007735552 is a wasteful number, since it uses less digits than its factorization.

461007735552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5113 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 461007735552 in words is "four hundred sixty-one billion, seven million, seven hundred thirty-five thousand, five hundred fifty-two".