1653338460 has 48 divisors (see below), whose sum is σ = 4635703296. Its totient is φ = 440284992.

The previous prime is 1653338443. The next prime is 1653338461. The reversal of 1653338460 is 648333561.

1653338460 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1653338460³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1653338461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26037 + ... + 63123.

It is an arithmetic number, because the mean of its divisors is an integer number (96577152).

Almost surely, 2^1653338460 is an apocalyptic number.

1653338460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1653338460 is an abundant number, since it is smaller than the sum of its proper divisors (2982364836).

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

1653338460 is a wasteful number, since it uses less digits than its factorization.

1653338460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37842 (or 37840 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 1653338460 is about 40661.2648598147. The cubic root of 1653338460 is about 1182.4621719250.

The spelling of 1653338460 in words is "one billion, six hundred fifty-three million, three hundred thirty-eight thousand, four hundred sixty".