1530397440 has 432 divisors, whose sum is σ = 6227413920. Its totient is φ = 342097920.

The previous prime is 1530397423. The next prime is 1530397471. The reversal of 1530397440 is 447930351.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1530397395 and 1530397404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1646896 + ... + 1647824.

It is an arithmetic number, because the mean of its divisors is an integer number (14415310).

Almost surely, 2^1530397440 is an apocalyptic number.

1530397440 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 1530397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113706960).

1530397440 is an abundant number, since it is smaller than the sum of its proper divisors (4697016480).

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

1530397440 is a wasteful number, since it uses less digits than its factorization.

1530397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1530397440 is about 39120.2944774193. The cubic root of 1530397440 is about 1152.3951190941.

The spelling of 1530397440 in words is "one billion, five hundred thirty million, three hundred ninety-seven thousand, four hundred forty".