1405209960 has 384 divisors, whose sum is σ = 5747189760. Its totient is φ = 289267200.

The previous prime is 1405209947. The next prime is 1405209989. The reversal of 1405209960 is 699025041.

1405209960 is a `hidden beast` number, since 1 + 40 + 520 + 9 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4518205 + ... + 4518515.

It is an arithmetic number, because the mean of its divisors is an integer number (14966640).

Almost surely, 2^1405209960 is an apocalyptic number.

1405209960 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 1405209960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873594880).

1405209960 is an abundant number, since it is smaller than the sum of its proper divisors (4341979800).

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

1405209960 is a wasteful number, since it uses less digits than its factorization.

1405209960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1405209960 is about 37486.1302350616. The cubic root of 1405209960 is about 1120.0749205834.

The spelling of 1405209960 in words is "one billion, four hundred five million, two hundred nine thousand, nine hundred sixty".