57150480 has 160 divisors (see below), whose sum is σ = 189987840. Its totient is φ = 14169600.

The previous prime is 57150463. The next prime is 57150491. The reversal of 57150480 is 8405175.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 378405 + ... + 378555.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 2^57150480 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 57150480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

57150480 is an abundant number, since it is smaller than the sum of its proper divisors (132837360).

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

57150480 is a wasteful number, since it uses less digits than its factorization.

57150480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 57150480 is about 7559.7936479774. The cubic root of 57150480 is about 385.1884836356.

It can be divided in two parts, 57150 and 480, that added together give a triangular number (57630 = T₃₃₉).

The spelling of 57150480 in words is "fifty-seven million, one hundred fifty thousand, four hundred eighty".