464157792 has 216 divisors, whose sum is σ = 1586475072. Its totient is φ = 128217600.

The previous prime is 464157787. The next prime is 464157809. The reversal of 464157792 is 297751464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 436942 + ... + 438002.

It is an arithmetic number, because the mean of its divisors is an integer number (7344792).

Almost surely, 2^464157792 is an apocalyptic number.

464157792 is a gapful number since it is divisible by the number (42) 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 464157792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793237536).

464157792 is an abundant number, since it is smaller than the sum of its proper divisors (1122317280).

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

464157792 is a wasteful number, since it uses less digits than its factorization.

464157792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1104 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 464157792 is about 21544.3215720523. The cubic root of 464157792 is about 774.2630758472.

The spelling of 464157792 in words is "four hundred sixty-four million, one hundred fifty-seven thousand, seven hundred ninety-two".