468026400 has 144 divisors (see below), whose sum is σ = 1532901888. Its totient is φ = 124032000.

The previous prime is 468026393. The next prime is 468026407. The reversal of 468026400 is 4620864.

It is an interprime number because it is at equal distance from previous prime (468026393) and next prime (468026407).

It is a super-2 number, since 2×468026400² = 438097422193920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (468026407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457890 + ... + 458910.

It is an arithmetic number, because the mean of its divisors is an integer number (10645152).

Almost surely, 2^468026400 is an apocalyptic number.

468026400 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 468026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766450944).

468026400 is an abundant number, since it is smaller than the sum of its proper divisors (1064875488).

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

468026400 is a wasteful number, since it uses less digits than its factorization.

468026400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 468026400 is about 21633.9178143951. The cubic root of 468026400 is about 776.4082062453.

The spelling of 468026400 in words is "four hundred sixty-eight million, twenty-six thousand, four hundred".