1413945072 has 140 divisors (see below), whose sum is σ = 4132641744. Its totient is φ = 468426240.

The previous prime is 1413945067. The next prime is 1413945101. The reversal of 1413945072 is 2705493141.

1413945072 is a `hidden beast` number, since 1 + 4 + 139 + 450 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2810773 + ... + 2811275.

Almost surely, 2^1413945072 is an apocalyptic number.

1413945072 is a gapful number since it is divisible by the number (12) 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 1413945072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066320872).

1413945072 is an abundant number, since it is smaller than the sum of its proper divisors (2718696672).

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

1413945072 is an equidigital number, since it uses as much as digits as its factorization.

1413945072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1413945072 is about 37602.4609832920. The cubic root of 1413945072 is about 1122.3910101635.

The spelling of 1413945072 in words is "one billion, four hundred thirteen million, nine hundred forty-five thousand, seventy-two".