457477020 has 288 divisors, whose sum is σ = 1863912960. Its totient is φ = 87713280.

The previous prime is 457477019. The next prime is 457477049. The reversal of 457477020 is 20774754.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178911 + ... + 181449.

It is an arithmetic number, because the mean of its divisors is an integer number (6471920).

Almost surely, 2^457477020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457477020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931956480).

457477020 is an abundant number, since it is smaller than the sum of its proper divisors (1406435940).

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

457477020 is a wasteful number, since it uses less digits than its factorization.

457477020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 457477020 is about 21388.7124437167. The cubic root of 457477020 is about 770.5303705314.

The spelling of 457477020 in words is "four hundred fifty-seven million, four hundred seventy-seven thousand, twenty".