420051240 has 384 divisors, whose sum is σ = 1701273600. Its totient is φ = 87713280.

The previous prime is 420051227. The next prime is 420051241. The reversal of 420051240 is 42150024.

420051240 is a `hidden beast` number, since 420 + 0 + 5 + 1 + 240 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (420051241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1484139 + ... + 1484421.

It is an arithmetic number, because the mean of its divisors is an integer number (4430400).

Almost surely, 2^420051240 is an apocalyptic number.

420051240 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 420051240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850636800).

420051240 is an abundant number, since it is smaller than the sum of its proper divisors (1281222360).

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

420051240 is a wasteful number, since it uses less digits than its factorization.

420051240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 350 counting only the distinct ones).

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

The square root of 420051240 is about 20495.1516217861. The cubic root of 420051240 is about 748.9176922311.

The spelling of 420051240 in words is "four hundred twenty million, fifty-one thousand, two hundred forty".