468262080 has 448 divisors, whose sum is σ = 1945843200. Its totient is φ = 104509440.

The previous prime is 468262073. The next prime is 468262097. The reversal of 468262080 is 80262864.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1235331 + ... + 1235709.

It is an arithmetic number, because the mean of its divisors is an integer number (4343400).

Almost surely, 2^468262080 is an apocalyptic number.

468262080 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 468262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972921600).

468262080 is an abundant number, since it is smaller than the sum of its proper divisors (1477581120).

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

468262080 is a wasteful number, since it uses less digits than its factorization.

468262080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 468262080 is about 21639.3641311384. The cubic root of 468262080 is about 776.5385074278.

The spelling of 468262080 in words is "four hundred sixty-eight million, two hundred sixty-two thousand, eighty".