902464992 has 288 divisors, whose sum is σ = 3194886240. Its totient is φ = 237404160.

The previous prime is 902464987. The next prime is 902464993. The reversal of 902464992 is 299464209.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (902464993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 699484 + ... + 700772.

It is an arithmetic number, because the mean of its divisors is an integer number (11093355).

Almost surely, 2^902464992 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 902464992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597443120).

902464992 is an abundant number, since it is smaller than the sum of its proper divisors (2292421248).

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

902464992 is a wasteful number, since it uses less digits than its factorization.

902464992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 902464992 is about 30041.0551079685. The cubic root of 902464992 is about 966.3700342849.

The spelling of 902464992 in words is "nine hundred two million, four hundred sixty-four thousand, nine hundred ninety-two".