464098824 has 96 divisors (see below), whose sum is σ = 1442488320. Its totient is φ = 132046848.

The previous prime is 464098771. The next prime is 464098837. The reversal of 464098824 is 428890464.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 464098824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127737 + ... + 131319.

It is an arithmetic number, because the mean of its divisors is an integer number (15025920).

Almost surely, 2^464098824 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 464098824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721244160).

464098824 is an abundant number, since it is smaller than the sum of its proper divisors (978389496).

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

464098824 is a wasteful number, since it uses less digits than its factorization.

464098824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 464098824 is about 21542.9530009235. The cubic root of 464098824 is about 774.2302862230.

The spelling of 464098824 in words is "four hundred sixty-four million, ninety-eight thousand, eight hundred twenty-four".