420150240 has 240 divisors, whose sum is σ = 1570825872. Its totient is φ = 105394176.

The previous prime is 420150217. The next prime is 420150271. The reversal of 420150240 is 42051024.

420150240 is a `hidden beast` number, since 420 + 1 + 5 + 0 + 240 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 219367 + ... + 221273.

Almost surely, 2^420150240 is an apocalyptic number.

420150240 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 420150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785412936).

420150240 is an abundant number, since it is smaller than the sum of its proper divisors (1150675632).

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

420150240 is a wasteful number, since it uses less digits than its factorization.

420150240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 420150240 is about 20497.5666848531. The cubic root of 420150240 is about 748.9765239644.

The spelling of 420150240 in words is "four hundred twenty million, one hundred fifty thousand, two hundred forty".