468350400 has 336 divisors, whose sum is σ = 1796027904. Its totient is φ = 104632320.

The previous prime is 468350383. The next prime is 468350413. The reversal of 468350400 is 4053864.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1780669 + ... + 1780931.

Almost surely, 2^468350400 is an apocalyptic number.

468350400 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 468350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898013952).

468350400 is an abundant number, since it is smaller than the sum of its proper divisors (1327677504).

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

468350400 is a wasteful number, since it uses less digits than its factorization.

468350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 468350400 is about 21641.4047603200. The cubic root of 468350400 is about 776.5873259367.

The spelling of 468350400 in words is "four hundred sixty-eight million, three hundred fifty thousand, four hundred".