40479264 has 240 divisors, whose sum is σ = 143434368. Its totient is φ = 10948608.

The previous prime is 40479223. The next prime is 40479269. The reversal of 40479264 is 46297404.

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 (40479269) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 417264 + ... + 417360.

Almost surely, 2^40479264 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 40479264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71717184).

40479264 is an abundant number, since it is smaller than the sum of its proper divisors (102955104).

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

40479264 is a wasteful number, since it uses less digits than its factorization.

40479264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 40479264 is about 6362.3316480674. The cubic root of 40479264 is about 343.3556533913.

The spelling of 40479264 in words is "forty million, four hundred seventy-nine thousand, two hundred sixty-four".