1405978560 has 672 divisors, whose sum is σ = 5983467840. Its totient is φ = 313528320.

The previous prime is 1405978547. The next prime is 1405978597. The reversal of 1405978560 is 658795041.

1405978560 is a `hidden beast` number, since 1 + 4 + 0 + 597 + 8 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1405978560² = 3953551422359347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 34292140 + ... + 34292180.

It is an arithmetic number, because the mean of its divisors is an integer number (8903970).

Almost surely, 2^1405978560 is an apocalyptic number.

1405978560 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 1405978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991733920).

1405978560 is an abundant number, since it is smaller than the sum of its proper divisors (4577489280).

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

1405978560 is an frugal number, since it uses more digits than its factorization.

1405978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 1405978560 is about 37496.3806253350. The cubic root of 1405978560 is about 1120.2790971116.

The spelling of 1405978560 in words is "one billion, four hundred five million, nine hundred seventy-eight thousand, five hundred sixty".