1404149760 has 336 divisors, whose sum is σ = 5259729384. Its totient is φ = 344457216.

The previous prime is 1404149759. The next prime is 1404149767. The reversal of 1404149760 is 679414041.

It can be written as a sum of positive squares in 4 ways, for example, as 1207701504 + 196448256 = 34752^2 + 14016^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404149767) 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, 4792174 + ... + 4792466.

Almost surely, 2^1404149760 is an apocalyptic number.

1404149760 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 1404149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629864692).

1404149760 is an abundant number, since it is smaller than the sum of its proper divisors (3855579624).

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

1404149760 is a wasteful number, since it uses less digits than its factorization.

1404149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1404149760 is about 37471.9863364621. The cubic root of 1404149760 is about 1119.7931590820.

The spelling of 1404149760 in words is "one billion, four hundred four million, one hundred forty-nine thousand, seven hundred sixty".