1403921664 has 108 divisors (see below), whose sum is σ = 4124585556. Its totient is φ = 459104256.

The previous prime is 1403921543. The next prime is 1403921669. The reversal of 1403921664 is 4661293041.

1403921664 is a `hidden beast` number, since 1 + 403 + 92 + 166 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 929030400 + 474891264 = 30480^2 + 21792^2 .

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 (1403921669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116364 + ... + 127860.

It is an arithmetic number, because the mean of its divisors is an integer number (38190607).

Almost surely, 2^1403921664 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 1403921664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062292778).

1403921664 is an abundant number, since it is smaller than the sum of its proper divisors (2720663892).

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

1403921664 is a wasteful number, since it uses less digits than its factorization.

1403921664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11572 (or 11555 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1403921664 is about 37468.9426592211. The cubic root of 1403921664 is about 1119.7325211597.

The spelling of 1403921664 in words is "one billion, four hundred three million, nine hundred twenty-one thousand, six hundred sixty-four".