1405404468 has 144 divisors (see below), whose sum is σ = 4006352896. Its totient is φ = 412439040.

The previous prime is 1405404463. The next prime is 1405404487. The reversal of 1405404468 is 8644045041.

It is a happy number.

1405404468 is a `hidden beast` number, since 14 + 0 + 540 + 44 + 68 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405404463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1058421 + ... + 1059747.

Almost surely, 2^1405404468 is an apocalyptic number.

1405404468 is a gapful number since it is divisible by the number (18) 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 1405404468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003176448).

1405404468 is an abundant number, since it is smaller than the sum of its proper divisors (2600948428).

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

1405404468 is a wasteful number, since it uses less digits than its factorization.

1405404468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 1405404468 is about 37488.7245448548. The cubic root of 1405404468 is about 1120.1265981470.

The spelling of 1405404468 in words is "one billion, four hundred five million, four hundred four thousand, four hundred sixty-eight".