257226372 has 72 divisors (see below), whose sum is σ = 702636480. Its totient is φ = 78874560.

The previous prime is 257226367. The next prime is 257226383. The reversal of 257226372 is 273622752.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167247 + ... + 168777.

It is an arithmetic number, because the mean of its divisors is an integer number (9758840).

Almost surely, 2^257226372 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 257226372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351318240).

257226372 is an abundant number, since it is smaller than the sum of its proper divisors (445410108).

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

257226372 is a wasteful number, since it uses less digits than its factorization.

257226372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1908 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 257226372 is about 16038.2783365298. The cubic root of 257226372 is about 635.9727352736.

The spelling of 257226372 in words is "two hundred fifty-seven million, two hundred twenty-six thousand, three hundred seventy-two".