457480033920 has 1024 divisors, whose sum is σ = 2028354048000. Its totient is φ = 94868029440.

The previous prime is 457480033897. The next prime is 457480033963. The reversal of 457480033920 is 29330084754.

457480033920 is a `hidden beast` number, since 4 + 57 + 480 + 0 + 33 + 92 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 92773855 + ... + 92778785.

It is an arithmetic number, because the mean of its divisors is an integer number (1980814500).

Almost surely, 2^457480033920 is an apocalyptic number.

457480033920 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 457480033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014177024000).

457480033920 is an abundant number, since it is smaller than the sum of its proper divisors (1570874014080).

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

457480033920 is a wasteful number, since it uses less digits than its factorization.

457480033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 457480033920 in words is "four hundred fifty-seven billion, four hundred eighty million, thirty-three thousand, nine hundred twenty".