120419460 has 360 divisors, whose sum is σ = 462319704. Its totient is φ = 26127360.

The previous prime is 120419447. The next prime is 120419489. The reversal of 120419460 is 64914021.

It can be written as a sum of positive squares in 4 ways, for example, as 8398404 + 112021056 = 2898^2 + 10584^2 .

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

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 119 ways as a sum of consecutive naturals, for example, 2937040 + ... + 2937080.

Almost surely, 2^120419460 is an apocalyptic number.

120419460 is a gapful number since it is divisible by the number (10) 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 120419460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231159852).

120419460 is an abundant number, since it is smaller than the sum of its proper divisors (341900244).

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

120419460 is a wasteful number, since it uses less digits than its factorization.

120419460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 120419460 is about 10973.5800903807. The cubic root of 120419460 is about 493.8164561514.

The spelling of 120419460 in words is "one hundred twenty million, four hundred nineteen thousand, four hundred sixty".