1415270400 has 312 divisors, whose sum is σ = 4972788864. Its totient is φ = 353894400.

The previous prime is 1415270399. The next prime is 1415270401. The reversal of 1415270400 is 40725141.

It is an interprime number because it is at equal distance from previous prime (1415270399) and next prime (1415270401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1415270401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5222265 + ... + 5222535.

Almost surely, 2^1415270400 is an apocalyptic number.

1415270400 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 1415270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486394432).

1415270400 is an abundant number, since it is smaller than the sum of its proper divisors (3557518464).

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

1415270400 is a wasteful number, since it uses less digits than its factorization.

1415270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 1415270400 is about 37620.0797447321. The cubic root of 1415270400 is about 1122.7415828826.

Adding to 1415270400 its reverse (40725141), we get a palindrome (1455995541).

The spelling of 1415270400 in words is "one billion, four hundred fifteen million, two hundred seventy thousand, four hundred".