906410402502 has 384 divisors, whose sum is σ = 2263674470400. Its totient is φ = 240612768000.

The previous prime is 906410402419. The next prime is 906410402503. The reversal of 906410402502 is 205204014609.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906410402503) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 933480877 + ... + 933481847.

It is an arithmetic number, because the mean of its divisors is an integer number (5894985600).

Almost surely, 2^906410402502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906410402502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131837235200).

906410402502 is an abundant number, since it is smaller than the sum of its proper divisors (1357264067898).

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

906410402502 is a wasteful number, since it uses less digits than its factorization.

906410402502 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 906410402502 in words is "nine hundred six billion, four hundred ten million, four hundred two thousand, five hundred two".