412053000 has 128 divisors (see below), whose sum is σ = 1353456000. Its totient is φ = 104083200.

The previous prime is 412052989. The next prime is 412053011. The reversal of 412053000 is 350214.

It is an interprime number because it is at equal distance from previous prime (412052989) and next prime (412053011).

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53386 + ... + 60614.

It is an arithmetic number, because the mean of its divisors is an integer number (10573875).

Almost surely, 2^412053000 is an apocalyptic number.

412053000 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 412053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676728000).

412053000 is an abundant number, since it is smaller than the sum of its proper divisors (941403000).

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

412053000 is a wasteful number, since it uses less digits than its factorization.

412053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7272 (or 7258 counting only the distinct ones).

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

The square root of 412053000 is about 20299.0886494936. The cubic root of 412053000 is about 744.1337919871.

The spelling of 412053000 in words is "four hundred twelve million, fifty-three thousand".