457025904720 has 2240 divisors, whose sum is σ = 2123406950400. Its totient is φ = 90531302400.

The previous prime is 457025904719. The next prime is 457025904773. The reversal of 457025904720 is 27409520754.

457025904720 is a `hidden beast` number, since 4 + 5 + 70 + 25 + 90 + 472 + 0 = 666.

It is a super-3 number, since 3×457025904720³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 6821282127 + ... + 6821282193.

Almost surely, 2^457025904720 is an apocalyptic number.

457025904720 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 457025904720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061703475200).

457025904720 is an abundant number, since it is smaller than the sum of its proper divisors (1666381045680).

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

457025904720 is a wasteful number, since it uses less digits than its factorization.

457025904720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 457025904720 in words is "four hundred fifty-seven billion, twenty-five million, nine hundred four thousand, seven hundred twenty".