801401472 has 128 divisors (see below), whose sum is σ = 2401243200. Its totient is φ = 263070720.

The previous prime is 801401467. The next prime is 801401507. The reversal of 801401472 is 274104108.

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 (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229822 + ... + 233282.

Almost surely, 2^801401472 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 801401472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200621600).

801401472 is an abundant number, since it is smaller than the sum of its proper divisors (1599841728).

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

801401472 is a wasteful number, since it uses less digits than its factorization.

801401472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3551 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 801401472 is about 28309.0351654732. The cubic root of 801401472 is about 928.8595385452.

The spelling of 801401472 in words is "eight hundred one million, four hundred one thousand, four hundred seventy-two".