457432389120 has 960 divisors, whose sum is σ = 1776625145856. Its totient is φ = 99998760960.

The previous prime is 457432389067. The next prime is 457432389121. The reversal of 457432389120 is 21983234754.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 457432389120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457432389121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1318248787 + ... + 1318249133.

Almost surely, 2^457432389120 is an apocalyptic number.

457432389120 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 457432389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888312572928).

457432389120 is an abundant number, since it is smaller than the sum of its proper divisors (1319192756736).

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

457432389120 is a wasteful number, since it uses less digits than its factorization.

457432389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 457432389120 in words is "four hundred fifty-seven billion, four hundred thirty-two million, three hundred eighty-nine thousand, one hundred twenty".