415120464 has 200 divisors, whose sum is σ = 1347839328. Its totient is φ = 122238720.

The previous prime is 415120463. The next prime is 415120469. The reversal of 415120464 is 464021514.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415120463) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 527079 + ... + 527865.

Almost surely, 2^415120464 is an apocalyptic number.

415120464 is a gapful number since it is divisible by the number (44) 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 415120464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673919664).

415120464 is an abundant number, since it is smaller than the sum of its proper divisors (932718864).

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

415120464 is a wasteful number, since it uses less digits than its factorization.

415120464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 415120464 is about 20374.5052455268. The cubic root of 415120464 is about 745.9757579206.

Adding to 415120464 its reverse (464021514), we get a palindrome (879141978).

The spelling of 415120464 in words is "four hundred fifteen million, one hundred twenty thousand, four hundred sixty-four".