396014400 has 336 divisors, whose sum is σ = 1474012800. Its totient is φ = 103403520.

The previous prime is 396014389. The next prime is 396014407. The reversal of 396014400 is 4410693.

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 (396014407) 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, 3844749 + ... + 3844851.

Almost surely, 2^396014400 is an apocalyptic number.

396014400 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 396014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737006400).

396014400 is an abundant number, since it is smaller than the sum of its proper divisors (1077998400).

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

396014400 is a wasteful number, since it uses less digits than its factorization.

396014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 396014400 is about 19900.1105524567. The cubic root of 396014400 is about 734.3509472128.

The spelling of 396014400 in words is "three hundred ninety-six million, fourteen thousand, four hundred".