801473400 has 576 divisors, whose sum is σ = 3473215200. Its totient is φ = 168376320.

The previous prime is 801473399. The next prime is 801473401. The reversal of 801473400 is 4374108.

It is an interprime number because it is at equal distance from previous prime (801473399) and next prime (801473401).

It is a super-2 number, since 2×801473400² = 1284719221815120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801473401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3439684 + ... + 3439916.

Almost surely, 2^801473400 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 801473400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736607600).

801473400 is an abundant number, since it is smaller than the sum of its proper divisors (2671741800).

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

801473400 is a wasteful number, since it uses less digits than its factorization.

801473400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 801473400 is about 28310.3055440947. The cubic root of 801473400 is about 928.8873269520.

The spelling of 801473400 in words is "eight hundred one million, four hundred seventy-three thousand, four hundred".