415212000 has 192 divisors, whose sum is σ = 1554868224. Its totient is φ = 94886400.

The previous prime is 415211963. The next prime is 415212013. The reversal of 415212000 is 212514.

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 31 ways as a sum of consecutive naturals, for example, 81529 + ... + 86471.

It is an arithmetic number, because the mean of its divisors is an integer number (8098272).

Almost surely, 2^415212000 is an apocalyptic number.

415212000 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 415212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777434112).

415212000 is an abundant number, since it is smaller than the sum of its proper divisors (1139656224).

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

415212000 is a wasteful number, since it uses less digits than its factorization.

415212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 415212000 is about 20376.7514584636. The cubic root of 415212000 is about 746.0305842698.

Adding to 415212000 its reverse (212514), we get a palindrome (415424514).

The spelling of 415212000 in words is "four hundred fifteen million, two hundred twelve thousand".