468201400 has 48 divisors (see below), whose sum is σ = 1102384800. Its totient is φ = 184903680.

The previous prime is 468201379. The next prime is 468201407. The reversal of 468201400 is 4102864.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468201407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 984 + ... + 30616.

It is an arithmetic number, because the mean of its divisors is an integer number (22966350).

Almost surely, 2^468201400 is an apocalyptic number.

468201400 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 468201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551192400).

468201400 is an abundant number, since it is smaller than the sum of its proper divisors (634183400).

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

468201400 is a wasteful number, since it uses less digits than its factorization.

468201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29728 (or 29719 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 468201400 is about 21637.9620112431. The cubic root of 468201400 is about 776.5049632552.

The spelling of 468201400 in words is "four hundred sixty-eight million, two hundred one thousand, four hundred".