1015420800 has 288 divisors, whose sum is σ = 3541882680. Its totient is φ = 255651840.

The previous prime is 1015420793. The next prime is 1015420807. The reversal of 1015420800 is 80245101.

It is an interprime number because it is at equal distance from previous prime (1015420793) and next prime (1015420807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1015420807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3465454 + ... + 3465746.

Almost surely, 2^1015420800 is an apocalyptic number.

1015420800 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 1015420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770941340).

1015420800 is an abundant number, since it is smaller than the sum of its proper divisors (2526461880).

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

1015420800 is a wasteful number, since it uses less digits than its factorization.

1015420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1015420800 is about 31865.6680457197. The cubic root of 1015420800 is about 1005.1140683873.

Adding to 1015420800 its reverse (80245101), we get a palindrome (1095665901).

The spelling of 1015420800 in words is "one billion, fifteen million, four hundred twenty thousand, eight hundred".