461531387520 has 384 divisors, whose sum is σ = 1851269546880. Its totient is φ = 103762944000.

The previous prime is 461531387519. The next prime is 461531387531. The reversal of 461531387520 is 25783135164.

It is a happy number.

461531387520 is a `hidden beast` number, since 4 + 6 + 15 + 31 + 3 + 87 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×461531387520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2365695 + ... + 2553345.

It is an arithmetic number, because the mean of its divisors is an integer number (4821014445).

Almost surely, 2^461531387520 is an apocalyptic number.

461531387520 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 461531387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925634773440).

461531387520 is an abundant number, since it is smaller than the sum of its proper divisors (1389738159360).

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

461531387520 is a wasteful number, since it uses less digits than its factorization.

461531387520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187744 (or 187729 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 461531387520 in words is "four hundred sixty-one billion, five hundred thirty-one million, three hundred eighty-seven thousand, five hundred twenty".