1047468240 has 480 divisors, whose sum is σ = 4502211840. Its totient is φ = 217976832.

The previous prime is 1047468211. The next prime is 1047468263. The reversal of 1047468240 is 428647401.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 1047468195 and 1047468204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14348844 + ... + 14348916.

It is an arithmetic number, because the mean of its divisors is an integer number (9379608).

Almost surely, 2^1047468240 is an apocalyptic number.

1047468240 is a gapful number since it is divisible by the number (10) 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 1047468240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251105920).

1047468240 is an abundant number, since it is smaller than the sum of its proper divisors (3454743600).

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

1047468240 is a wasteful number, since it uses less digits than its factorization.

1047468240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1047468240 is about 32364.6140097484. The cubic root of 1047468240 is about 1015.5787877230.

The spelling of 1047468240 in words is "one billion, forty-seven million, four hundred sixty-eight thousand, two hundred forty".