1534753440 has 192 divisors, whose sum is σ = 5860149120. Its totient is φ = 372049920.

The previous prime is 1534753427. The next prime is 1534753447. The reversal of 1534753440 is 443574351.

1534753440 is a `hidden beast` number, since 153 + 475 + 34 + 4 + 0 = 666.

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 = 1534753395 and 1534753404.

It is not an unprimeable number, because it can be changed into a prime (1534753447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31372 + ... + 63668.

It is an arithmetic number, because the mean of its divisors is an integer number (30521610).

Almost surely, 2^1534753440 is an apocalyptic number.

1534753440 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 1534753440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930074560).

1534753440 is an abundant number, since it is smaller than the sum of its proper divisors (4325395680).

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

1534753440 is a wasteful number, since it uses less digits than its factorization.

1534753440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32332 (or 32318 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 1534753440 is about 39175.9293444329. The cubic root of 1534753440 is about 1153.4874449265.

Subtracting from 1534753440 its reverse (443574351), we obtain a square (1091179089 = 33033²).

The spelling of 1534753440 in words is "one billion, five hundred thirty-four million, seven hundred fifty-three thousand, four hundred forty".