400982540 has 48 divisors (see below), whose sum is σ = 966276864. Its totient is φ = 136920000.

The previous prime is 400982509. The next prime is 400982557. The reversal of 400982540 is 45289004.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 400982497 and 400982506.

It is an unprimeable number.

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, 29435 + ... + 40845.

It is an arithmetic number, because the mean of its divisors is an integer number (20130768).

Almost surely, 2^400982540 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 400982540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483138432).

400982540 is an abundant number, since it is smaller than the sum of its proper divisors (565294324).

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

400982540 is a wasteful number, since it uses less digits than its factorization.

400982540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11678 (or 11676 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 400982540 is about 20024.5484343593. The cubic root of 400982540 is about 737.4090911597.

The spelling of 400982540 in words is "four hundred million, nine hundred eighty-two thousand, five hundred forty".