809252400 has 240 divisors, whose sum is σ = 2860674048. Its totient is φ = 193920000.

The previous prime is 809252399. The next prime is 809252429. The reversal of 809252400 is 4252908.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1332897 + ... + 1333503.

Almost surely, 2^809252400 is an apocalyptic number.

809252400 is a gapful number since it is divisible by the number (80) 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 809252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430337024).

809252400 is an abundant number, since it is smaller than the sum of its proper divisors (2051421648).

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

809252400 is a wasteful number, since it uses less digits than its factorization.

809252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 809252400 is about 28447.3619163535. The cubic root of 809252400 is about 931.8828774579.

The spelling of 809252400 in words is "eight hundred nine million, two hundred fifty-two thousand, four hundred".