468051400 has 24 divisors (see below), whose sum is σ = 1088219970. Its totient is φ = 187220480.

The previous prime is 468051373. The next prime is 468051433. The reversal of 468051400 is 4150864.

It can be written as a sum of positive squares in 3 ways, for example, as 354117124 + 113934276 = 18818^2 + 10674^2 .

It is a super-2 number, since 2×468051400² = 438144226083920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1169929 + ... + 1170328.

Almost surely, 2^468051400 is an apocalyptic number.

468051400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468051400 is an abundant number, since it is smaller than the sum of its proper divisors (620168570).

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

468051400 is a wasteful number, since it uses less digits than its factorization.

468051400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340273 (or 2340264 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 468051400 is about 21634.4956030872. The cubic root of 468051400 is about 776.4220301518.

It can be divided in two parts, 46805 and 1400, that added together give a triangular number (48205 = T₃₁₀).

The spelling of 468051400 in words is "four hundred sixty-eight million, fifty-one thousand, four hundred".