120415464 has 256 divisors, whose sum is σ = 395808000. Its totient is φ = 33592320.

The previous prime is 120415459. The next prime is 120415507. The reversal of 120415464 is 464514021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1973994 + ... + 1974054.

It is an arithmetic number, because the mean of its divisors is an integer number (1546125).

Almost surely, 2^120415464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120415464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197904000).

120415464 is an abundant number, since it is smaller than the sum of its proper divisors (275392536).

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

120415464 is a wasteful number, since it uses less digits than its factorization.

120415464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

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

The square root of 120415464 is about 10973.3980152002. The cubic root of 120415464 is about 493.8109938216.

Adding to 120415464 its reverse (464514021), we get a palindrome (584929485).

It can be divided in two parts, 12041546 and 4, that multiplied together give a palindrome (48166184).

The spelling of 120415464 in words is "one hundred twenty million, four hundred fifteen thousand, four hundred sixty-four".