1415468120 has 64 divisors (see below), whose sum is σ = 3481539840. Its totient is φ = 513648000.

The previous prime is 1415468113. The next prime is 1415468147. The reversal of 1415468120 is 218645141.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227045 + ... + 233195.

It is an arithmetic number, because the mean of its divisors is an integer number (54399060).

Almost surely, 2^1415468120 is an apocalyptic number.

1415468120 is a gapful number since it is divisible by the number (10) 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 1415468120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740769920).

1415468120 is an abundant number, since it is smaller than the sum of its proper divisors (2066071720).

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

1415468120 is a wasteful number, since it uses less digits than its factorization.

1415468120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6696 (or 6692 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 1415468120 is about 37622.7075049099. The cubic root of 1415468120 is about 1122.7938645594.

The spelling of 1415468120 in words is "one billion, four hundred fifteen million, four hundred sixty-eight thousand, one hundred twenty".