1404834480 has 240 divisors, whose sum is σ = 5626782720. Its totient is φ = 307118592.

The previous prime is 1404834451. The next prime is 1404834499. The reversal of 1404834480 is 844384041.

1404834480 is a `hidden beast` number, since 140 + 4 + 8 + 34 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 109861 + ... + 121979.

It is an arithmetic number, because the mean of its divisors is an integer number (23444928).

Almost surely, 2^1404834480 is an apocalyptic number.

1404834480 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 1404834480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813391360).

1404834480 is an abundant number, since it is smaller than the sum of its proper divisors (4221948240).

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

1404834480 is a wasteful number, since it uses less digits than its factorization.

1404834480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12168 (or 12159 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 1404834480 is about 37481.1216481044. The cubic root of 1404834480 is about 1119.9751482581.

The spelling of 1404834480 in words is "one billion, four hundred four million, eight hundred thirty-four thousand, four hundred eighty".