468669600 has 432 divisors, whose sum is σ = 2003496768. Its totient is φ = 100638720.

The previous prime is 468669581. The next prime is 468669659. The reversal of 468669600 is 6966864.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 856527 + ... + 857073.

It is an arithmetic number, because the mean of its divisors is an integer number (4637724).

Almost surely, 2^468669600 is an apocalyptic number.

468669600 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 468669600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001748384).

468669600 is an abundant number, since it is smaller than the sum of its proper divisors (1534827168).

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

468669600 is a wasteful number, since it uses less digits than its factorization.

468669600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 468669600 is about 21648.7782565206. The cubic root of 468669600 is about 776.7637112390.

The spelling of 468669600 in words is "four hundred sixty-eight million, six hundred sixty-nine thousand, six hundred".