501007248 has 240 divisors, whose sum is σ = 1710783360. Its totient is φ = 137507328.

The previous prime is 501007223. The next prime is 501007303. The reversal of 501007248 is 842700105.

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 47 ways as a sum of consecutive naturals, for example, 2543086 + ... + 2543282.

It is an arithmetic number, because the mean of its divisors is an integer number (7128264).

Almost surely, 2^501007248 is an apocalyptic number.

501007248 is a gapful number since it is divisible by the number (58) 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 501007248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855391680).

501007248 is an abundant number, since it is smaller than the sum of its proper divisors (1209776112).

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

501007248 is a wasteful number, since it uses less digits than its factorization.

501007248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 501007248 is about 22383.1911933933. The cubic root of 501007248 is about 794.2331373412.

The spelling of 501007248 in words is "five hundred one million, seven thousand, two hundred forty-eight".