40284864 has 140 divisors (see below), whose sum is σ = 126009400. Its totient is φ = 12690432.

The previous prime is 40284859. The next prime is 40284877. The reversal of 40284864 is 46848204.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98292 + ... + 98700.

Almost surely, 2^40284864 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 40284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63004700).

40284864 is an abundant number, since it is smaller than the sum of its proper divisors (85724536).

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

40284864 is a wasteful number, since it uses less digits than its factorization.

40284864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 40284864 is about 6347.0358436045. The cubic root of 40284864 is about 342.8051206784.

The spelling of 40284864 in words is "forty million, two hundred eighty-four thousand, eight hundred sixty-four".