1405135200 has 144 divisors (see below), whose sum is σ = 5227165440. Its totient is φ = 321169920.

The previous prime is 1405135169. The next prime is 1405135201. The reversal of 1405135200 is 25315041.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405135201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25020 + ... + 58619.

It is an arithmetic number, because the mean of its divisors is an integer number (36299760).

Almost surely, 2^1405135200 is an apocalyptic number.

1405135200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1405135200 is an abundant number, since it is smaller than the sum of its proper divisors (3822030240).

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

1405135200 is a wasteful number, since it uses less digits than its factorization.

1405135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83669 (or 83656 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1405135200 is about 37485.1330529852. The cubic root of 1405135200 is about 1120.0550568173.

The spelling of 1405135200 in words is "one billion, four hundred five million, one hundred thirty-five thousand, two hundred".