413750000 has 80 divisors (see below), whose sum is σ = 1005075552. Its totient is φ = 165000000.

The previous prime is 413749997. The next prime is 413750003. The reversal of 413750000 is 57314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (413749997) and next prime (413750003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413750003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249835 + ... + 1250165.

Almost surely, 2^413750000 is an apocalyptic number.

413750000 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 413750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502537776).

413750000 is an abundant number, since it is smaller than the sum of its proper divisors (591325552).

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

413750000 is an frugal number, since it uses more digits than its factorization.

413750000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 413750000 is about 20340.8456068080. The cubic root of 413750000 is about 745.1539402323.

The spelling of 413750000 in words is "four hundred thirteen million, seven hundred fifty thousand".