467965800 has 288 divisors, whose sum is σ = 1709187480. Its totient is φ = 114278400.

The previous prime is 467965789. The next prime is 467965807. The reversal of 467965800 is 8569764.

467965800 is a `hidden beast` number, since 4 + 67 + 9 + 6 + 580 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8892324 + 459073476 = 2982^2 + 21426^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (467965807) 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, 1254414 + ... + 1254786.

Almost surely, 2^467965800 is an apocalyptic number.

467965800 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 467965800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854593740).

467965800 is an abundant number, since it is smaller than the sum of its proper divisors (1241221680).

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

467965800 is a wasteful number, since it uses less digits than its factorization.

467965800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 467965800 is about 21632.5171905629. The cubic root of 467965800 is about 776.3746950529.

The spelling of 467965800 in words is "four hundred sixty-seven million, nine hundred sixty-five thousand, eight hundred".