1415348000 has 192 divisors, whose sum is σ = 3995671680. Its totient is φ = 487296000.

The previous prime is 1415347979. The next prime is 1415348021. The reversal of 1415348000 is 8435141.

It is an interprime number because it is at equal distance from previous prime (1415347979) and next prime (1415348021).

It is a super-2 number, since 2×1415348000² = 4006419922208000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 835154 + ... + 836846.

It is an arithmetic number, because the mean of its divisors is an integer number (20810790).

Almost surely, 2^1415348000 is an apocalyptic number.

1415348000 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 1415348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997835840).

1415348000 is an abundant number, since it is smaller than the sum of its proper divisors (2580323680).

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

1415348000 is a wasteful number, since it uses less digits than its factorization.

1415348000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 1415348000 is about 37621.1110947032. Note that the first 3 decimals coincide. The cubic root of 1415348000 is about 1122.7621026727.

The spelling of 1415348000 in words is "one billion, four hundred fifteen million, three hundred forty-eight thousand".