311990400 has 384 divisors, whose sum is σ = 1199030400. Its totient is φ = 79073280.

The previous prime is 311990353. The next prime is 311990429. The reversal of 311990400 is 4099113.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 1987122 + ... + 1987278.

It is an arithmetic number, because the mean of its divisors is an integer number (3122475).

Almost surely, 2^311990400 is an apocalyptic number.

311990400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

311990400 is the 8832-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599515200).

311990400 is an abundant number, since it is smaller than the sum of its proper divisors (887040000).

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

311990400 is a wasteful number, since it uses less digits than its factorization.

311990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 311990400 is about 17663.2499840771. The cubic root of 311990400 is about 678.2353322003.

The spelling of 311990400 in words is "three hundred eleven million, nine hundred ninety thousand, four hundred".