501476976 has 480 divisors, whose sum is σ = 1949875200. Its totient is φ = 118540800.

The previous prime is 501476957. The next prime is 501476993. The reversal of 501476976 is 679674105.

It is a happy number.

501476976 is a `hidden beast` number, since 501 + 4 + 76 + 9 + 76 = 666.

It is a super-3 number, since 3×501476976³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7063021 + ... + 7063091.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2^501476976 is an apocalyptic number.

501476976 is a gapful number since it is divisible by the number (56) 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 501476976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974937600).

501476976 is an abundant number, since it is smaller than the sum of its proper divisors (1448398224).

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

501476976 is a wasteful number, since it uses less digits than its factorization.

501476976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 501476976 is about 22393.6816088824. The cubic root of 501476976 is about 794.4812754745.

The spelling of 501476976 in words is "five hundred one million, four hundred seventy-six thousand, nine hundred seventy-six".