468417400 has 48 divisors (see below), whose sum is σ = 1188082440. Its totient is φ = 170332800.

The previous prime is 468417359. The next prime is 468417419. The reversal of 468417400 is 4714864.

It is a super-3 number, since 3×468417400³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104259 + ... + 108658.

Almost surely, 2^468417400 is an apocalyptic number.

468417400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468417400 is an abundant number, since it is smaller than the sum of its proper divisors (719665040).

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

468417400 is a wasteful number, since it uses less digits than its factorization.

468417400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212944 (or 212935 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 468417400 is about 21642.9526636270. The cubic root of 468417400 is about 776.6243558114.

The spelling of 468417400 in words is "four hundred sixty-eight million, four hundred seventeen thousand, four hundred".