1403968464 has 120 divisors (see below), whose sum is σ = 4097987712. Its totient is φ = 465315840.

The previous prime is 1403968457. The next prime is 1403968481. The reversal of 1403968464 is 4648693041.

It is a super-2 number, since 2×1403968464² = 3942254895813038592, which contains 22 as substring.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 749449 + ... + 751319.

Almost surely, 2^1403968464 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 1403968464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048993856).

1403968464 is an abundant number, since it is smaller than the sum of its proper divisors (2694019248).

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

1403968464 is a wasteful number, since it uses less digits than its factorization.

1403968464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 1403968464 is about 37469.5671712391. The cubic root of 1403968464 is about 1119.7449631881.

The spelling of 1403968464 in words is "one billion, four hundred three million, nine hundred sixty-eight thousand, four hundred sixty-four".