39406464 has 96 divisors (see below), whose sum is σ = 115096800. Its totient is φ = 12939264.

The previous prime is 39406457. The next prime is 39406469. The reversal of 39406464 is 46460493.

39406464 is a `hidden beast` number, since 3 + 9 + 4 + 0 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39406469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90792 + ... + 91224.

It is an arithmetic number, because the mean of its divisors is an integer number (1198925).

Almost surely, 2^39406464 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 39406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57548400).

39406464 is an abundant number, since it is smaller than the sum of its proper divisors (75690336).

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

39406464 is a wasteful number, since it uses less digits than its factorization.

39406464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 39406464 is about 6277.4568098873. The cubic root of 39406464 is about 340.2951992181.

It can be divided in two parts, 3940 and 6464, that added together give a square (10404 = 102²).

The spelling of 39406464 in words is "thirty-nine million, four hundred six thousand, four hundred sixty-four".