42402564 has 36 divisors (see below), whose sum is σ = 108947020. Its totient is φ = 13901760.

The previous prime is 42402559. The next prime is 42402583. The reversal of 42402564 is 46520424.

It can be written as a sum of positive squares in 2 ways, for example, as 3240000 + 39162564 = 1800^2 + 6258^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7459 + ... + 11850.

Almost surely, 2^42402564 is an apocalyptic number.

It is an amenable number.

42402564 is an abundant number, since it is smaller than the sum of its proper divisors (66544456).

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

42402564 is a wasteful number, since it uses less digits than its factorization.

42402564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19380 (or 19375 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 42402564 is about 6511.7251170485. The cubic root of 42402564 is about 348.7097089924.

Adding to 42402564 its reverse (46520424), we get a palindrome (88922988).

The spelling of 42402564 in words is "forty-two million, four hundred two thousand, five hundred sixty-four".