333465000 has 320 divisors, whose sum is σ = 1187619840. Its totient is φ = 77280000.

The previous prime is 333464977. The next prime is 333465001. The reversal of 333465000 is 564333.

It is a super-2 number, since 2×333465000² = 222397812450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (333465001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7094977 + ... + 7095023.

It is an arithmetic number, because the mean of its divisors is an integer number (3711312).

Almost surely, 2^333465000 is an apocalyptic number.

333465000 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 333465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593809920).

333465000 is an abundant number, since it is smaller than the sum of its proper divisors (854154840).

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

333465000 is a wasteful number, since it uses less digits than its factorization.

333465000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 333465000 is about 18261.0240676694. The cubic root of 333465000 is about 693.4525549009.

The spelling of 333465000 in words is "three hundred thirty-three million, four hundred sixty-five thousand".