467750400 has 240 divisors, whose sum is σ = 1665820464. Its totient is φ = 115015680.

The previous prime is 467750377. The next prime is 467750453. The reversal of 467750400 is 4057764.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 498732 + ... + 499668.

Almost surely, 2^467750400 is an apocalyptic number.

467750400 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 467750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832910232).

467750400 is an abundant number, since it is smaller than the sum of its proper divisors (1198070064).

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

467750400 is a wasteful number, since it uses less digits than its factorization.

467750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 467750400 is about 21627.5380013537. The cubic root of 467750400 is about 776.2555575902.

The spelling of 467750400 in words is "four hundred sixty-seven million, seven hundred fifty thousand, four hundred".