467048400 has 540 divisors, whose sum is σ = 1924644672. Its totient is φ = 96445440.

The previous prime is 467048383. The next prime is 467048401. The reversal of 467048400 is 4840764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467048401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9937177 + ... + 9937223.

Almost surely, 2^467048400 is an apocalyptic number.

467048400 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 467048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962322336).

467048400 is an abundant number, since it is smaller than the sum of its proper divisors (1457596272).

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

467048400 is a wasteful number, since it uses less digits than its factorization.

467048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 467048400 is about 21611.3025984090. The cubic root of 467048400 is about 775.8670282663.

The spelling of 467048400 in words is "four hundred sixty-seven million, forty-eight thousand, four hundred".