501963264 has 160 divisors (see below), whose sum is σ = 1621414080. Its totient is φ = 152064000.

The previous prime is 501963251. The next prime is 501963271. The reversal of 501963264 is 462369105.

It is a happy number.

501963264 is a `hidden beast` number, since 5 + 0 + 19 + 632 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150414 + ... + 153714.

It is an arithmetic number, because the mean of its divisors is an integer number (10133838).

Almost surely, 2^501963264 is an apocalyptic number.

501963264 is a gapful number since it is divisible by the number (54) 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 501963264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810707040).

501963264 is an abundant number, since it is smaller than the sum of its proper divisors (1119450816).

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

501963264 is a wasteful number, since it uses less digits than its factorization.

501963264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 501963264 is about 22404.5366834487. The cubic root of 501963264 is about 794.7379983914.

It can be divided in two parts, 5019632 and 64, that added together give a triangular number (5019696 = T₃₁₆₈).

The spelling of 501963264 in words is "five hundred one million, nine hundred sixty-three thousand, two hundred sixty-four".