1408410072 has 32 divisors (see below), whose sum is σ = 3912250800. Its totient is φ = 469469952.

The previous prime is 1408410049. The next prime is 1408410119. The reversal of 1408410072 is 2700148041.

1408410072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1408410072² = 3967237861822090368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3259993 + ... + 3260424.

Almost surely, 2^1408410072 is an apocalyptic number.

1408410072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1408410072 is an abundant number, since it is smaller than the sum of its proper divisors (2503840728).

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

1408410072 is a wasteful number, since it uses less digits than its factorization.

1408410072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6520432 (or 6520422 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1408410072 is about 37528.7899085489. The cubic root of 1408410072 is about 1120.9245321050.

The spelling of 1408410072 in words is "one billion, four hundred eight million, four hundred ten thousand, seventy-two".