467980800 has 240 divisors, whose sum is σ = 1767809472. Its totient is φ = 106905600.

The previous prime is 467980783. The next prime is 467980813. The reversal of 467980800 is 8089764.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 267930 + ... + 269670.

Almost surely, 2^467980800 is an apocalyptic number.

467980800 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 467980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883904736).

467980800 is an abundant number, since it is smaller than the sum of its proper divisors (1299828672).

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

467980800 is a wasteful number, since it uses less digits than its factorization.

467980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 467980800 is about 21632.8638880755. The cubic root of 467980800 is about 776.3829901720.

The spelling of 467980800 in words is "four hundred sixty-seven million, nine hundred eighty thousand, eight hundred".