902724213924 has 135 divisors (see below), whose sum is σ = 2474677795317. Its totient is φ = 277464859776.

The previous prime is 902724213883. The next prime is 902724213947. The reversal of 902724213924 is 429312427209.

The square root of 902724213924 is 950118.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 656343022500 + 246381191424 = 810150^2 + 496368^2 .

It is a super-2 number, since 2×902724213924² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 902724213924.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 963419184 + ... + 963420120.

Almost surely, 2^902724213924 is an apocalyptic number.

902724213924 is the 950118-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 902724213924

902724213924 is an abundant number, since it is smaller than the sum of its proper divisors (1571953581393).

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

902724213924 is an frugal number, since it uses more digits than its factorization.

902724213924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 902724213924 in words is "nine hundred two billion, seven hundred twenty-four million, two hundred thirteen thousand, nine hundred twenty-four".