401404464 has 160 divisors (see below), whose sum is σ = 1221350400. Its totient is φ = 125959680.

The previous prime is 401404447. The next prime is 401404477. The reversal of 401404464 is 464404104.

It is a super-2 number, since 2×401404464² = 322251087438254592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705172 + ... + 705740.

It is an arithmetic number, because the mean of its divisors is an integer number (7633440).

Almost surely, 2^401404464 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 401404464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610675200).

401404464 is an abundant number, since it is smaller than the sum of its proper divisors (819945936).

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

401404464 is a wasteful number, since it uses less digits than its factorization.

401404464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 401404464 is about 20035.0808333782. The cubic root of 401404464 is about 737.6676406804.

Adding to 401404464 its reverse (464404104), we get a palindrome (865808568).

The spelling of 401404464 in words is "four hundred one million, four hundred four thousand, four hundred sixty-four".