467856900 has 243 divisors, whose sum is σ = 1722618261. Its totient is φ = 105900480.

The previous prime is 467856889. The next prime is 467856919. The reversal of 467856900 is 9658764.

The square root of 467856900 is 21630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 168428484 + 299428416 = 12978^2 + 17304^2 .

It is a super-3 number, since 3×467856900³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4542249 + ... + 4542351.

Almost surely, 2^467856900 is an apocalyptic number.

467856900 is the 21630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467856900

467856900 is an abundant number, since it is smaller than the sum of its proper divisors (1254761361).

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

467856900 is a wasteful number, since it uses less digits than its factorization.

467856900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 120 counting only the distinct ones).

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

The cubic root of 467856900 is about 776.3144671734.

It can be divided in two parts, 467856 and 900, that multiplied together give a square (421070400 = 20520²).

The spelling of 467856900 in words is "four hundred sixty-seven million, eight hundred fifty-six thousand, nine hundred".