1653907440 has 160 divisors (see below), whose sum is σ = 5512504320. Its totient is φ = 408886272.

The previous prime is 1653907427. The next prime is 1653907469. The reversal of 1653907440 is 447093561.

1653907440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 210462 + ... + 218178.

It is an arithmetic number, because the mean of its divisors is an integer number (34453152).

Almost surely, 2^1653907440 is an apocalyptic number.

1653907440 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 1653907440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756252160).

1653907440 is an abundant number, since it is smaller than the sum of its proper divisors (3858596880).

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

1653907440 is a wasteful number, since it uses less digits than its factorization.

1653907440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7799 (or 7793 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 1653907440 is about 40668.2608430702. The cubic root of 1653907440 is about 1182.5978005694.

The spelling of 1653907440 in words is "one billion, six hundred fifty-three million, nine hundred seven thousand, four hundred forty".