501772440 has 128 divisors (see below), whose sum is σ = 1628605440. Its totient is φ = 122942976.

The previous prime is 501772421. The next prime is 501772457. The reversal of 501772440 is 44277105.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 501772398 and 501772407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409669 + ... + 410891.

It is an arithmetic number, because the mean of its divisors is an integer number (12723480).

Almost surely, 2^501772440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501772440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814302720).

501772440 is an abundant number, since it is smaller than the sum of its proper divisors (1126833000).

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

501772440 is a wasteful number, since it uses less digits than its factorization.

501772440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 501772440 is about 22400.2776768503. The cubic root of 501772440 is about 794.6372776706.

The spelling of 501772440 in words is "five hundred one million, seven hundred seventy-two thousand, four hundred forty".