336777480 has 384 divisors, whose sum is σ = 1299715200. Its totient is φ = 77082624.

The previous prime is 336777449. The next prime is 336777491. The reversal of 336777480 is 84777633.

It is a super-2 number, since 2×336777480² = 226838142070300800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4057519 + ... + 4057601.

It is an arithmetic number, because the mean of its divisors is an integer number (3384675).

Almost surely, 2^336777480 is an apocalyptic number.

336777480 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 336777480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649857600).

336777480 is an abundant number, since it is smaller than the sum of its proper divisors (962937720).

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

336777480 is a wasteful number, since it uses less digits than its factorization.

336777480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 336777480 is about 18351.4980314960. The cubic root of 336777480 is about 695.7411344090.

The spelling of 336777480 in words is "three hundred thirty-six million, seven hundred seventy-seven thousand, four hundred eighty".