902428560 has 320 divisors, whose sum is σ = 3571200000. Its totient is φ = 207152640.

The previous prime is 902428547. The next prime is 902428591. The reversal of 902428560 is 65824209.

It is a happy number.

902428560 is a `hidden beast` number, since 90 + 2 + 4 + 2 + 8 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450441 + ... + 452439.

It is an arithmetic number, because the mean of its divisors is an integer number (11160000).

Almost surely, 2^902428560 is an apocalyptic number.

902428560 is a gapful number since it is divisible by the number (90) 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 902428560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785600000).

902428560 is an abundant number, since it is smaller than the sum of its proper divisors (2668771440).

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

902428560 is a wasteful number, since it uses less digits than its factorization.

902428560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 902428560 is about 30040.4487316684. The cubic root of 902428560 is about 966.3570301732.

The spelling of 902428560 in words is "nine hundred two million, four hundred twenty-eight thousand, five hundred sixty".