902461560 has 384 divisors, whose sum is σ = 3667991040. Its totient is φ = 172846080.

The previous prime is 902461517. The next prime is 902461579. The reversal of 902461560 is 65164209.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1320979 + ... + 1321661.

It is an arithmetic number, because the mean of its divisors is an integer number (9552060).

Almost surely, 2^902461560 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 902461560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833995520).

902461560 is an abundant number, since it is smaller than the sum of its proper divisors (2765529480).

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

902461560 is a wasteful number, since it uses less digits than its factorization.

902461560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 902461560 is about 30040.9979860856. The cubic root of 902461560 is about 966.3688092749.

It can be divided in two parts, 90246 and 1560, that added together give a triangular number (91806 = T₄₂₈).

The spelling of 902461560 in words is "nine hundred two million, four hundred sixty-one thousand, five hundred sixty".