457232878080 has 1280 divisors, whose sum is σ = 1927076659200. Its totient is φ = 101523456000.

The previous prime is 457232878079. The next prime is 457232878127. The reversal of 457232878080 is 80878232754.

457232878080 is a `hidden beast` number, since 457 + 2 + 32 + 8 + 7 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 447827970 + ... + 447828990.

It is an arithmetic number, because the mean of its divisors is an integer number (1505528640).

Almost surely, 2^457232878080 is an apocalyptic number.

457232878080 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 457232878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963538329600).

457232878080 is an abundant number, since it is smaller than the sum of its proper divisors (1469843781120).

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

457232878080 is a wasteful number, since it uses less digits than its factorization.

457232878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 457232878080 in words is "four hundred fifty-seven billion, two hundred thirty-two million, eight hundred seventy-eight thousand, eighty".