457551540 has 144 divisors (see below), whose sum is σ = 1468958400. Its totient is φ = 114960384.

The previous prime is 457551511. The next prime is 457551553. The reversal of 457551540 is 45155754.

457551540 is a `hidden beast` number, since 4 + 57 + 551 + 54 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 457551495 and 457551504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1207071 + ... + 1207449.

It is an arithmetic number, because the mean of its divisors is an integer number (10201100).

Almost surely, 2^457551540 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 457551540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734479200).

457551540 is an abundant number, since it is smaller than the sum of its proper divisors (1011406860).

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

457551540 is a wasteful number, since it uses less digits than its factorization.

457551540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

The square root of 457551540 is about 21390.4544131255. The cubic root of 457551540 is about 770.5722063710.

The spelling of 457551540 in words is "four hundred fifty-seven million, five hundred fifty-one thousand, five hundred forty".