336470400 has 288 divisors, whose sum is σ = 1372940400. Its totient is φ = 76861440.

The previous prime is 336470389. The next prime is 336470413. The reversal of 336470400 is 4074633.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×336470400² = 226424660152320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 200766 + ... + 202434.

Almost surely, 2^336470400 is an apocalyptic number.

336470400 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 336470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686470200).

336470400 is an abundant number, since it is smaller than the sum of its proper divisors (1036470000).

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

336470400 is a wasteful number, since it uses less digits than its factorization.

336470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 336470400 is about 18343.1295039860. The cubic root of 336470400 is about 695.5296068482.

The spelling of 336470400 in words is "three hundred thirty-six million, four hundred seventy thousand, four hundred".