57150240 has 192 divisors, whose sum is σ = 209454336. Its totient is φ = 12828672.

The previous prime is 57150221. The next prime is 57150253. The reversal of 57150240 is 4205175.

It is a super-2 number, since 2×57150240² = 6532299864115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 57150240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245164 + ... + 245396.

It is an arithmetic number, because the mean of its divisors is an integer number (1090908).

Almost surely, 2^57150240 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 57150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104727168).

57150240 is an abundant number, since it is smaller than the sum of its proper divisors (152304096).

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

57150240 is a wasteful number, since it uses less digits than its factorization.

57150240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 57150240 is about 7559.7777745116. Note that the first 5 decimals coincide. The cubic root of 57150240 is about 385.1879444429.

The spelling of 57150240 in words is "fifty-seven million, one hundred fifty thousand, two hundred forty".