501480000 has 420 divisors, whose sum is σ = 2063089600. Its totient is φ = 114048000.

The previous prime is 501479959. The next prime is 501480013. The reversal of 501480000 is 84105.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2519901 + ... + 2520099.

Almost surely, 2^501480000 is an apocalyptic number.

501480000 is a gapful number since it is divisible by the number (50) 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 501480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031544800).

501480000 is an abundant number, since it is smaller than the sum of its proper divisors (1561609600).

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

501480000 is a wasteful number, since it uses less digits than its factorization.

501480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 501480000 is about 22393.7491278258. The cubic root of 501480000 is about 794.4828724282.

The spelling of 501480000 in words is "five hundred one million, four hundred eighty thousand".