336050400 has 288 divisors, whose sum is σ = 1270418688. Its totient is φ = 75571200.

The previous prime is 336050399. The next prime is 336050411. The reversal of 336050400 is 4050633.

It is a super-2 number, since 2×336050400² = 225859742680320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 1394280 + ... + 1394520.

It is an arithmetic number, because the mean of its divisors is an integer number (4411176).

Almost surely, 2^336050400 is an apocalyptic number.

336050400 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 336050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635209344).

336050400 is an abundant number, since it is smaller than the sum of its proper divisors (934368288).

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

336050400 is a wasteful number, since it uses less digits than its factorization.

336050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 336050400 is about 18331.6775009817. The cubic root of 336050400 is about 695.2400875059.

The spelling of 336050400 in words is "three hundred thirty-six million, fifty thousand, four hundred".