468787200 has 336 divisors, whose sum is σ = 1787712960. Its totient is φ = 106168320.

The previous prime is 468787181. The next prime is 468787271. The reversal of 468787200 is 2787864.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×468787200² = 439522877767680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4300746 + ... + 4300854.

Almost surely, 2^468787200 is an apocalyptic number.

468787200 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 468787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893856480).

468787200 is an abundant number, since it is smaller than the sum of its proper divisors (1318925760).

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

468787200 is a wasteful number, since it uses less digits than its factorization.

468787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 468787200 is about 21651.4941747677. The cubic root of 468787200 is about 776.8286751092.

The spelling of 468787200 in words is "four hundred sixty-eight million, seven hundred eighty-seven thousand, two hundred".