892472256 has 560 divisors, whose sum is σ = 3252886560. Its totient is φ = 238878720.

The previous prime is 892472233. The next prime is 892472257. The reversal of 892472256 is 652274298.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (892472257) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21767596 + ... + 21767636.

It is an arithmetic number, because the mean of its divisors is an integer number (5808726).

Almost surely, 2^892472256 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 892472256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626443280).

892472256 is an abundant number, since it is smaller than the sum of its proper divisors (2360414304).

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

892472256 is a wasteful number, since it uses less digits than its factorization.

892472256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 892472256 is about 29874.2741501781. The cubic root of 892472256 is about 962.7900086571.

The spelling of 892472256 in words is "eight hundred ninety-two million, four hundred seventy-two thousand, two hundred fifty-six".