474401664 has 128 divisors (see below), whose sum is σ = 1527552000. Its totient is φ = 143746560.

The previous prime is 474401663. The next prime is 474401687. The reversal of 474401664 is 466104474.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474401663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31777 + ... + 44255.

It is an arithmetic number, because the mean of its divisors is an integer number (11934000).

Almost surely, 2^474401664 is an apocalyptic number.

474401664 is a gapful number since it is divisible by the number (44) 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 474401664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763776000).

474401664 is an abundant number, since it is smaller than the sum of its proper divisors (1053150336).

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

474401664 is a wasteful number, since it uses less digits than its factorization.

474401664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12513 (or 12495 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 474401664 is about 21780.7636229770. The cubic root of 474401664 is about 779.9176244367.

The spelling of 474401664 in words is "four hundred seventy-four million, four hundred one thousand, six hundred sixty-four".