412157520 has 240 divisors, whose sum is σ = 1481905152. Its totient is φ = 102297600.

The previous prime is 412157497. The next prime is 412157527. The reversal of 412157520 is 25751214.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412157527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1848129 + ... + 1848351.

Almost surely, 2^412157520 is an apocalyptic number.

412157520 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 412157520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740952576).

412157520 is an abundant number, since it is smaller than the sum of its proper divisors (1069747632).

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

412157520 is a wasteful number, since it uses less digits than its factorization.

412157520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 412157520 is about 20301.6629860709. The cubic root of 412157520 is about 744.1967048395.

The spelling of 412157520 in words is "four hundred twelve million, one hundred fifty-seven thousand, five hundred twenty".