403913664 has 252 divisors, whose sum is σ = 1470327768. Its totient is φ = 104832000.

The previous prime is 403913651. The next prime is 403913677. The reversal of 403913664 is 466319304.

It is an interprime number because it is at equal distance from previous prime (403913651) and next prime (403913677).

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 309814 + ... + 311114.

It is an arithmetic number, because the mean of its divisors is an integer number (5834634).

Almost surely, 2^403913664 is an apocalyptic number.

403913664 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 403913664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735163884).

403913664 is an abundant number, since it is smaller than the sum of its proper divisors (1066414104).

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

403913664 is a wasteful number, since it uses less digits than its factorization.

403913664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 403913664 is about 20097.6034392163. The cubic root of 403913664 is about 739.2015151484.

The spelling of 403913664 in words is "four hundred three million, nine hundred thirteen thousand, six hundred sixty-four".