406074240 has 768 divisors, whose sum is σ = 1804420800. Its totient is φ = 82575360.

The previous prime is 406074169. The next prime is 406074271. The reversal of 406074240 is 42470604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14002546 + ... + 14002574.

Almost surely, 2^406074240 is an apocalyptic number.

406074240 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 406074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902210400).

406074240 is an abundant number, since it is smaller than the sum of its proper divisors (1398346560).

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

406074240 is a wasteful number, since it uses less digits than its factorization.

406074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 406074240 is about 20151.2838300690. The cubic root of 406074240 is about 740.5171938368.

The spelling of 406074240 in words is "four hundred six million, seventy-four thousand, two hundred forty".