1531479040 has 352 divisors, whose sum is σ = 4787032320. Its totient is φ = 456523776.

The previous prime is 1531479031. The next prime is 1531479041. The reversal of 1531479040 is 409741351.

It is a junction number, because it is equal to n+sod(n) for n = 1531478987 and 1531479005.

It is not an unprimeable number, because it can be changed into a prime (1531479041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8852394 + ... + 8852566.

Almost surely, 2^1531479040 is an apocalyptic number.

1531479040 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 1531479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393516160).

1531479040 is an abundant number, since it is smaller than the sum of its proper divisors (3255553280).

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

1531479040 is a wasteful number, since it uses less digits than its factorization.

1531479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 1531479040 is about 39134.1160625866. The cubic root of 1531479040 is about 1152.6665381402. Note that the first 3 decimals are identical.

The spelling of 1531479040 in words is "one billion, five hundred thirty-one million, four hundred seventy-nine thousand, forty".