309896400 has 240 divisors, whose sum is σ = 1147480128. Its totient is φ = 70656000.

The previous prime is 309896387. The next prime is 309896401. The reversal of 309896400 is 4698903.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309896401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223710 + ... + 225090.

Almost surely, 2^309896400 is an apocalyptic number.

309896400 is a gapful number since it is divisible by the number (30) 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 309896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573740064).

309896400 is an abundant number, since it is smaller than the sum of its proper divisors (837583728).

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

309896400 is a wasteful number, since it uses less digits than its factorization.

309896400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 309896400 is about 17603.8745735136. The cubic root of 309896400 is about 676.7145438661.

The spelling of 309896400 in words is "three hundred nine million, eight hundred ninety-six thousand, four hundred".