457497978000 has 320 divisors, whose sum is σ = 1703077329408. Its totient is φ = 103491993600.

The previous prime is 457497977977. The next prime is 457497978011. The reversal of 457497978000 is 879794754.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 4017852 + ... + 4130148.

Almost surely, 2^457497978000 is an apocalyptic number.

457497978000 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 457497978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851538664704).

457497978000 is an abundant number, since it is smaller than the sum of its proper divisors (1245579351408).

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

457497978000 is a wasteful number, since it uses less digits than its factorization.

457497978000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112427 (or 112411 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 60.

The spelling of 457497978000 in words is "four hundred fifty-seven billion, four hundred ninety-seven million, nine hundred seventy-eight thousand".