653451240 has 128 divisors (see below), whose sum is σ = 2118695040. Its totient is φ = 160275456.

The previous prime is 653451233. The next prime is 653451277. The reversal of 653451240 is 42154356.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 653451198 and 653451207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581319 + ... + 582441.

It is an arithmetic number, because the mean of its divisors is an integer number (16552305).

Almost surely, 2^653451240 is an apocalyptic number.

653451240 is a gapful number since it is divisible by the number (60) 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 653451240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059347520).

653451240 is an abundant number, since it is smaller than the sum of its proper divisors (1465243800).

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

653451240 is a wasteful number, since it uses less digits than its factorization.

653451240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 653451240 is about 25562.6923464646. The cubic root of 653451240 is about 867.7695276030.

The spelling of 653451240 in words is "six hundred fifty-three million, four hundred fifty-one thousand, two hundred forty".