464733977796 has 225 divisors, whose sum is σ = 1340672014605. Its totient is φ = 140378546880.

The previous prime is 464733977789. The next prime is 464733977819. The reversal of 464733977796 is 697779337464.

The square root of 464733977796 is 681714.

It is a perfect power (a square), and thus also a powerful number.

464733977796 is a `hidden beast` number, since 46 + 47 + 3 + 397 + 77 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2964802500 + 461769175296 = 54450^2 + 679536^2 .

Its product of digits (1008189504) is a multiple of the sum of its prime factors (686).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1484772936 + ... + 1484773248.

Almost surely, 2^464733977796 is an apocalyptic number.

464733977796 is the 681714-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464733977796

464733977796 is an abundant number, since it is smaller than the sum of its proper divisors (875938036809).

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

464733977796 is an frugal number, since it uses more digits than its factorization.

464733977796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 329 counting only the distinct ones).

The product of its digits is 1008189504, while the sum is 72.

The spelling of 464733977796 in words is "four hundred sixty-four billion, seven hundred thirty-three million, nine hundred seventy-seven thousand, seven hundred ninety-six".