468997200 has 360 divisors, whose sum is σ = 1914127488. Its totient is φ = 104094720.

The previous prime is 468997183. The next prime is 468997201. The reversal of 468997200 is 2799864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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 (468997201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 932149 + ... + 932651.

Almost surely, 2^468997200 is an apocalyptic number.

468997200 is a gapful number since it is divisible by the number (40) 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 468997200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957063744).

468997200 is an abundant number, since it is smaller than the sum of its proper divisors (1445130288).

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

468997200 is a wasteful number, since it uses less digits than its factorization.

468997200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 468997200 is about 21656.3431816177. The cubic root of 468997200 is about 776.9446550026.

The spelling of 468997200 in words is "four hundred sixty-eight million, nine hundred ninety-seven thousand, two hundred".