479901240 has 512 divisors, whose sum is σ = 2080512000. Its totient is φ = 95551488.

The previous prime is 479901229. The next prime is 479901271. The reversal of 479901240 is 42109974.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 479901195 and 479901204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1867192 + ... + 1867448.

It is an arithmetic number, because the mean of its divisors is an integer number (4063500).

Almost surely, 2^479901240 is an apocalyptic number.

479901240 is a gapful number since it is divisible by the number (40) 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 479901240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040256000).

479901240 is an abundant number, since it is smaller than the sum of its proper divisors (1600610760).

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

479901240 is a wasteful number, since it uses less digits than its factorization.

479901240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 479901240 is about 21906.6483059367. The cubic root of 479901240 is about 782.9198256160.

The spelling of 479901240 in words is "four hundred seventy-nine million, nine hundred one thousand, two hundred forty".