400607040 has 112 divisors (see below), whose sum is σ = 1346801472. Its totient is φ = 100540416.

The previous prime is 400606981. The next prime is 400607047. The reversal of 400607040 is 40706004.

It is a junction number, because it is equal to n+sod(n) for n = 400606998 and 400607016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400607047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4047 + ... + 28593.

Almost surely, 2^400607040 is an apocalyptic number.

400607040 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 400607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673400736).

400607040 is an abundant number, since it is smaller than the sum of its proper divisors (946194432).

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

400607040 is a wasteful number, since it uses less digits than its factorization.

400607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24584 (or 24574 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 400607040 is about 20015.1702465905. The cubic root of 400607040 is about 737.1788370842.

The spelling of 400607040 in words is "four hundred million, six hundred seven thousand, forty".