501098400 has 720 divisors, whose sum is σ = 2155174560. Its totient is φ = 111974400.

The previous prime is 501098383. The next prime is 501098417. The reversal of 501098400 is 4890105.

It is an interprime number because it is at equal distance from previous prime (501098383) and next prime (501098417).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13543182 + ... + 13543218.

It is an arithmetic number, because the mean of its divisors is an integer number (2993298).

Almost surely, 2^501098400 is an apocalyptic number.

501098400 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 501098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077587280).

501098400 is an abundant number, since it is smaller than the sum of its proper divisors (1654076160).

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

501098400 is a wasteful number, since it uses less digits than its factorization.

501098400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 501098400 is about 22385.2272715735. The cubic root of 501098400 is about 794.2813013475.

The spelling of 501098400 in words is "five hundred one million, ninety-eight thousand, four hundred".