1408420460 has 48 divisors (see below), whose sum is σ = 3011994720. Its totient is φ = 553059840.

The previous prime is 1408420441. The next prime is 1408420469. The reversal of 1408420460 is 640248041.

It is a super-2 number, since 2×1408420460² = 3967296384293223200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1408420469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 986267 + ... + 987693.

It is an arithmetic number, because the mean of its divisors is an integer number (62749890).

Almost surely, 2^1408420460 is an apocalyptic number.

1408420460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1408420460 is an abundant number, since it is smaller than the sum of its proper divisors (1603574260).

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

1408420460 is a wasteful number, since it uses less digits than its factorization.

1408420460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 1408420460 is about 37528.9283087061. The cubic root of 1408420460 is about 1120.9272879632.

The spelling of 1408420460 in words is "one billion, four hundred eight million, four hundred twenty thousand, four hundred sixty".