1408122468 has 120 divisors (see below), whose sum is σ = 3945746112. Its totient is φ = 436746816.

The previous prime is 1408122439. The next prime is 1408122487. The reversal of 1408122468 is 8642218041.

1408122468 is a `hidden beast` number, since 1 + 408 + 1 + 2 + 246 + 8 = 666.

It is a super-2 number, since 2×1408122468² = 3965617769772822048, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 273171 + ... + 278277.

Almost surely, 2^1408122468 is an apocalyptic number.

1408122468 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 1408122468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972873056).

1408122468 is an abundant number, since it is smaller than the sum of its proper divisors (2537623644).

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

1408122468 is a wasteful number, since it uses less digits than its factorization.

1408122468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5183 (or 5172 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1408122468 is about 37524.9579346866. The cubic root of 1408122468 is about 1120.8482275466.

The spelling of 1408122468 in words is "one billion, four hundred eight million, one hundred twenty-two thousand, four hundred sixty-eight".