333540480 has 512 divisors, whose sum is σ = 1381847040. Its totient is φ = 66502656.

The previous prime is 333540451. The next prime is 333540491. The reversal of 333540480 is 84045333.

It is a super-2 number, since 2×333540480² = 222498503597260800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4018519 + ... + 4018601.

It is an arithmetic number, because the mean of its divisors is an integer number (2698920).

Almost surely, 2^333540480 is an apocalyptic number.

333540480 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 333540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690923520).

333540480 is an abundant number, since it is smaller than the sum of its proper divisors (1048306560).

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

333540480 is a wasteful number, since it uses less digits than its factorization.

333540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 333540480 is about 18263.0906475328. The cubic root of 333540480 is about 693.5048720857.

The spelling of 333540480 in words is "three hundred thirty-three million, five hundred forty thousand, four hundred eighty".