120259440 has 240 divisors, whose sum is σ = 467970048. Its totient is φ = 27108864.

The previous prime is 120259429. The next prime is 120259453. The reversal of 120259440 is 44952021.

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

It is a super-2 number, since 2×120259440² = 28924665818227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539169 + ... + 539391.

Almost surely, 2^120259440 is an apocalyptic number.

120259440 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 120259440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).

120259440 is an abundant number, since it is smaller than the sum of its proper divisors (347710608).

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

120259440 is a wasteful number, since it uses less digits than its factorization.

120259440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 120259440 is about 10966.2865182340. The cubic root of 120259440 is about 493.5976223697.

It can be divided in two parts, 120 and 259440, that added together give a triangular number (259560 = T₇₂₀).

The spelling of 120259440 in words is "one hundred twenty million, two hundred fifty-nine thousand, four hundred forty".