1415345400 has 360 divisors, whose sum is σ = 5721475320. Its totient is φ = 323326080.

The previous prime is 1415345339. The next prime is 1415345401. The reversal of 1415345400 is 45435141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1415345401) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 792909 + ... + 794691.

It is an arithmetic number, because the mean of its divisors is an integer number (15892987).

Almost surely, 2^1415345400 is an apocalyptic number.

1415345400 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 1415345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860737660).

1415345400 is an abundant number, since it is smaller than the sum of its proper divisors (4306129920).

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

1415345400 is a wasteful number, since it uses less digits than its factorization.

1415345400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1415345400 is about 37621.0765396207. The cubic root of 1415345400 is about 1122.7614151661.

The spelling of 1415345400 in words is "one billion, four hundred fifteen million, three hundred forty-five thousand, four hundred".