401166464 has 16 divisors (see below), whose sum is σ = 799199070. Its totient is φ = 200583168.

The previous prime is 401166461. The next prime is 401166481. The reversal of 401166464 is 464661104.

It can be written as a sum of positive squares in only one way, i.e., 400320064 + 846400 = 20008^2 + 920^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 401166464.

It is not an unprimeable number, because it can be changed into a prime (401166461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1566929 + ... + 1567184.

Almost surely, 2^401166464 is an apocalyptic number.

It is an amenable number.

401166464 is a deficient number, since it is larger than the sum of its proper divisors (398032606).

401166464 is an equidigital number, since it uses as much as digits as its factorization.

401166464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134127 (or 3134115 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 401166464 is about 20029.1403709695. The cubic root of 401166464 is about 737.5218196743.

The spelling of 401166464 in words is "four hundred one million, one hundred sixty-six thousand, four hundred sixty-four".