336979440 has 800 divisors, whose sum is σ = 1555614720. Its totient is φ = 65691648.

The previous prime is 336979429. The next prime is 336979441. The reversal of 336979440 is 44979633.

It is a super-2 number, since 2×336979440² = 227110285965427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336979441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14651269 + ... + 14651291.

Almost surely, 2^336979440 is an apocalyptic number.

336979440 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 336979440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777807360).

336979440 is an abundant number, since it is smaller than the sum of its proper divisors (1218635280).

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

336979440 is a wasteful number, since it uses less digits than its factorization.

336979440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 336979440 is about 18356.9997548619. Note that the first 3 decimals coincide. The cubic root of 336979440 is about 695.8801815144.

The spelling of 336979440 in words is "three hundred thirty-six million, nine hundred seventy-nine thousand, four hundred forty".