413250000 has 280 divisors, whose sum is σ = 1453106400. Its totient is φ = 100800000.

The previous prime is 413249989. The next prime is 413250011. The reversal of 413250000 is 52314.

It is an interprime number because it is at equal distance from previous prime (413249989) and next prime (413250011).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14249986 + ... + 14250014.

Almost surely, 2^413250000 is an apocalyptic number.

413250000 is a gapful number since it is divisible by the number (40) 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 413250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726553200).

413250000 is an abundant number, since it is smaller than the sum of its proper divisors (1039856400).

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

413250000 is an equidigital number, since it uses as much as digits as its factorization.

413250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 413250000 is about 20328.5513502561. The cubic root of 413250000 is about 744.8536565245.

The spelling of 413250000 in words is "four hundred thirteen million, two hundred fifty thousand".