420690240 has 448 divisors, whose sum is σ = 1623974400. Its totient is φ = 102187008.

The previous prime is 420690233. The next prime is 420690241. The reversal of 420690240 is 42096024.

420690240 = T₂₃₃₆ + T₂₃₃₇ + ... + T₂₄₈₀.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420690241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5762844 + ... + 5762916.

Almost surely, 2^420690240 is an apocalyptic number.

420690240 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 420690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811987200).

420690240 is an abundant number, since it is smaller than the sum of its proper divisors (1203284160).

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

420690240 is a wasteful number, since it uses less digits than its factorization.

420690240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 420690240 is about 20510.7347503691. The cubic root of 420690240 is about 749.2972617509.

The spelling of 420690240 in words is "four hundred twenty million, six hundred ninety thousand, two hundred forty".