313940400 has 120 divisors (see below), whose sum is σ = 1009649664. Its totient is φ = 83385600.

The previous prime is 313940381. The next prime is 313940423. The reversal of 313940400 is 4049313.

313940400 = T₂₁ + T₂₂ + ... + T₁₂₃₄.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 516897 + ... + 517503.

Almost surely, 2^313940400 is an apocalyptic number.

313940400 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 313940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504824832).

313940400 is an abundant number, since it is smaller than the sum of its proper divisors (695709264).

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

313940400 is a wasteful number, since it uses less digits than its factorization.

313940400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 313940400 is about 17718.3633555698. The cubic root of 313940400 is about 679.6454322226.

Adding to 313940400 its reverse (4049313), we get a palindrome (317989713).

The spelling of 313940400 in words is "three hundred thirteen million, nine hundred forty thousand, four hundred".