40046400 has 252 divisors, whose sum is σ = 149039072. Its totient is φ = 10575360.

The previous prime is 40046387. The next prime is 40046411. The reversal of 40046400 is 464004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388749 + ... + 388851.

Almost surely, 2^40046400 is an apocalyptic number.

40046400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74519536).

40046400 is an abundant number, since it is smaller than the sum of its proper divisors (108992672).

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

40046400 is a wasteful number, since it uses less digits than its factorization.

40046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40046400 is about 6328.2224992489. Note that the first 3 decimals coincide. The cubic root of 40046400 is about 342.1273763761.

It can be divided in two parts, 4004 and 6400, that added together give a square (10404 = 102²).

The spelling of 40046400 in words is "forty million, forty-six thousand, four hundred".