336414400 has 168 divisors, whose sum is σ = 966927200. Its totient is φ = 115153920.

The previous prime is 336414371. The next prime is 336414409. The reversal of 336414400 is 4414633.

It is a happy number.

It is a super-2 number, since 2×336414400² = 226349297054720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (336414409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548494 + ... + 549106.

Almost surely, 2^336414400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483463600).

336414400 is an abundant number, since it is smaller than the sum of its proper divisors (630512800).

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

336414400 is an equidigital number, since it uses as much as digits as its factorization.

336414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 336414400 is about 18341.6029833818. The cubic root of 336414400 is about 695.4910181947.

It can be divided in two parts, 3364 and 14400, that multiplied together give a square (48441600 = 6960²).

The spelling of 336414400 in words is "three hundred thirty-six million, four hundred fourteen thousand, four hundred".