464726016 has 144 divisors (see below), whose sum is σ = 1413921600. Its totient is φ = 146644992.

The previous prime is 464725993. The next prime is 464726039. The reversal of 464726016 is 610627464.

464726016 is a `hidden beast` number, since 4 + 6 + 47 + 2 + 601 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (464725993) and next prime (464726039).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349545 + ... + 350871.

It is an arithmetic number, because the mean of its divisors is an integer number (9818900).

Almost surely, 2^464726016 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 464726016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706960800).

464726016 is an abundant number, since it is smaller than the sum of its proper divisors (949195584).

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

464726016 is a wasteful number, since it uses less digits than its factorization.

464726016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 464726016 is about 21557.5048648957. The cubic root of 464726016 is about 774.5788990867.

The spelling of 464726016 in words is "four hundred sixty-four million, seven hundred twenty-six thousand, sixteen".