501151464 has 96 divisors (see below), whose sum is σ = 1508738400. Its totient is φ = 148986240.

The previous prime is 501151457. The next prime is 501151471. The reversal of 501151464 is 464151105.

501151464 is a `hidden beast` number, since 50 + 1 + 151 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (501151457) and next prime (501151471).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36007 + ... + 47945.

It is an arithmetic number, because the mean of its divisors is an integer number (15716025).

Almost surely, 2^501151464 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 501151464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754369200).

501151464 is an abundant number, since it is smaller than the sum of its proper divisors (1007586936).

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

501151464 is a wasteful number, since it uses less digits than its factorization.

501151464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12015 (or 12008 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 501151464 is about 22386.4124861488. The cubic root of 501151464 is about 794.3093372618.

The spelling of 501151464 in words is "five hundred one million, one hundred fifty-one thousand, four hundred sixty-four".