1479749040 has 960 divisors, whose sum is σ = 6839562240. Its totient is φ = 290304000.

The previous prime is 1479749039. The next prime is 1479749077. The reversal of 1479749040 is 409479741.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36091420 + ... + 36091460.

It is an arithmetic number, because the mean of its divisors is an integer number (7124544).

Almost surely, 2^1479749040 is an apocalyptic number.

1479749040 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 1479749040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419781120).

1479749040 is an abundant number, since it is smaller than the sum of its proper divisors (5359813200).

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

1479749040 is a wasteful number, since it uses less digits than its factorization.

1479749040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1479749040 is about 38467.5062877749. The cubic root of 1479749040 is about 1139.5394261360.

The spelling of 1479749040 in words is "one billion, four hundred seventy-nine million, seven hundred forty-nine thousand, forty".