468772576 has 48 divisors (see below), whose sum is σ = 955584000. Its totient is φ = 226131840.

The previous prime is 468772571. The next prime is 468772589. The reversal of 468772576 is 675277864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468772571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 494535 + ... + 495481.

It is an arithmetic number, because the mean of its divisors is an integer number (19908000).

Almost surely, 2^468772576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468772576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477792000).

468772576 is an abundant number, since it is smaller than the sum of its proper divisors (486811424).

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

468772576 is a wasteful number, since it uses less digits than its factorization.

468772576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1479 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 52.

The square root of 468772576 is about 21651.1564587206. The cubic root of 468772576 is about 776.8205972004.

The spelling of 468772576 in words is "four hundred sixty-eight million, seven hundred seventy-two thousand, five hundred seventy-six".