464426880 has 256 divisors, whose sum is σ = 1615680000. Its totient is φ = 113025024.

The previous prime is 464426867. The next prime is 464426887. The reversal of 464426880 is 88624464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464426887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1057701 + ... + 1058139.

It is an arithmetic number, because the mean of its divisors is an integer number (6311250).

Almost surely, 2^464426880 is an apocalyptic number.

464426880 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 464426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807840000).

464426880 is an abundant number, since it is smaller than the sum of its proper divisors (1151253120).

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

464426880 is a wasteful number, since it uses less digits than its factorization.

464426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 464426880 is about 21550.5656538291. The cubic root of 464426880 is about 774.4126691232.

The spelling of 464426880 in words is "four hundred sixty-four million, four hundred twenty-six thousand, eight hundred eighty".