400414476 has 144 divisors (see below), whose sum is σ = 1224502272. Its totient is φ = 100598400.

The previous prime is 400414463. The next prime is 400414499. The reversal of 400414476 is 674414004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199510 + ... + 201506.

It is an arithmetic number, because the mean of its divisors is an integer number (8503488).

Almost surely, 2^400414476 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 400414476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612251136).

400414476 is an abundant number, since it is smaller than the sum of its proper divisors (824087796).

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

400414476 is a wasteful number, since it uses less digits than its factorization.

400414476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 400414476 is about 20010.3592171655. The cubic root of 400414476 is about 737.0607023184.

The spelling of 400414476 in words is "four hundred million, four hundred fourteen thousand, four hundred seventy-six".