1405380224 has 64 divisors (see below), whose sum is σ = 2976963840. Its totient is φ = 659383296.

The previous prime is 1405380199. The next prime is 1405380227. The reversal of 1405380224 is 4220835041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1405380227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151529 + ... + 160535.

It is an arithmetic number, because the mean of its divisors is an integer number (46515060).

Almost surely, 2^1405380224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1405380224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488481920).

1405380224 is an abundant number, since it is smaller than the sum of its proper divisors (1571583616).

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

1405380224 is an equidigital number, since it uses as much as digits as its factorization.

1405380224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9097 (or 9085 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 1405380224 is about 37488.4011929023. The cubic root of 1405380224 is about 1120.1201571767.

The spelling of 1405380224 in words is "one billion, four hundred five million, three hundred eighty thousand, two hundred twenty-four".