400352040 has 384 divisors, whose sum is σ = 1587081600. Its totient is φ = 86261760.

The previous prime is 400352009. The next prime is 400352087. The reversal of 400352040 is 40253004.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 1278924 + ... + 1279236.

It is an arithmetic number, because the mean of its divisors is an integer number (4133025).

Almost surely, 2^400352040 is an apocalyptic number.

400352040 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 400352040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793540800).

400352040 is an abundant number, since it is smaller than the sum of its proper divisors (1186729560).

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

400352040 is a wasteful number, since it uses less digits than its factorization.

400352040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 400352040 is about 20008.7990644116. The cubic root of 400352040 is about 737.0223907547.

The spelling of 400352040 in words is "four hundred million, three hundred fifty-two thousand, forty".