1534456040 has 128 divisors (see below), whose sum is σ = 4108527360. Its totient is φ = 509988864.

The previous prime is 1534456039. The next prime is 1534456061. The reversal of 1534456040 is 406544351.

It is a junction number, because it is equal to n+sod(n) for n = 1534455988 and 1534456006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199547 + ... + 207093.

It is an arithmetic number, because the mean of its divisors is an integer number (32097870).

Almost surely, 2^1534456040 is an apocalyptic number.

1534456040 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 1534456040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054263680).

1534456040 is an abundant number, since it is smaller than the sum of its proper divisors (2574071320).

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

1534456040 is a wasteful number, since it uses less digits than its factorization.

1534456040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7611 (or 7607 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 1534456040 is about 39172.1334624501. The cubic root of 1534456040 is about 1153.4129336472.

The spelling of 1534456040 in words is "one billion, five hundred thirty-four million, four hundred fifty-six thousand, forty".