57246000 has 320 divisors, whose sum is σ = 222842880. Its totient is φ = 12364800.

The previous prime is 57245977. The next prime is 57246023. The reversal of 57246000 is 64275.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57245977) and next prime (57246023).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1217977 + ... + 1218023.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 2^57246000 is an apocalyptic number.

57246000 is a gapful number since it is divisible by the number (50) 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 57246000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111421440).

57246000 is an abundant number, since it is smaller than the sum of its proper divisors (165596880).

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

57246000 is a wasteful number, since it uses less digits than its factorization.

57246000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 57246000 is about 7566.1086431534. The cubic root of 57246000 is about 385.4029625839.

The spelling of 57246000 in words is "fifty-seven million, two hundred forty-six thousand".