90402464 has 48 divisors (see below), whose sum is σ = 189981288. Its totient is φ = 42196992.

The previous prime is 90402461. The next prime is 90402493. The reversal of 90402464 is 46420409.

It can be written as a sum of positive squares in 4 ways, for example, as 70224400 + 20178064 = 8380^2 + 4492^2 .

It is not an unprimeable number, because it can be changed into a prime (90402461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73922 + ... + 75134.

Almost surely, 2^90402464 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 90402464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94990644).

90402464 is an abundant number, since it is smaller than the sum of its proper divisors (99578824).

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

90402464 is a wasteful number, since it uses less digits than its factorization.

90402464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 90402464 is about 9508.0210348947. The cubic root of 90402464 is about 448.8074829052.

The spelling of 90402464 in words is "ninety million, four hundred two thousand, four hundred sixty-four".