468261800 has 24 divisors (see below), whose sum is σ = 1088709150. Its totient is φ = 187304640.

The previous prime is 468261767. The next prime is 468261823. The reversal of 468261800 is 8162864.

It can be written as a sum of positive squares in 3 ways, for example, as 352613284 + 115648516 = 18778^2 + 10754^2 .

It is a super-2 number, since 2×468261800² = 438538226678480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1170455 + ... + 1170854.

Almost surely, 2^468261800 is an apocalyptic number.

468261800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468261800 is an abundant number, since it is smaller than the sum of its proper divisors (620447350).

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

468261800 is a wasteful number, since it uses less digits than its factorization.

468261800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341325 (or 2341316 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 468261800 is about 21639.3576614464. The cubic root of 468261800 is about 776.5383526492.

The spelling of 468261800 in words is "four hundred sixty-eight million, two hundred sixty-one thousand, eight hundred".