400062240 has 120 divisors (see below), whose sum is σ = 1411932060. Its totient is φ = 106679808.

The previous prime is 400062227. The next prime is 400062251. The reversal of 400062240 is 42260004.

400062240 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 622 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 351787536 + 48274704 = 18756^2 + 6948^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2475 + ... + 28394.

Almost surely, 2^400062240 is an apocalyptic number.

400062240 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 400062240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705966030).

400062240 is an abundant number, since it is smaller than the sum of its proper divisors (1011869820).

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

400062240 is a wasteful number, since it uses less digits than its factorization.

400062240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30896 (or 30879 counting only the distinct ones).

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

The square root of 400062240 is about 20001.5559394763. Note that the first 3 decimals coincide. The cubic root of 400062240 is about 736.8445134329.

The spelling of 400062240 in words is "four hundred million, sixty-two thousand, two hundred forty".