424286100 has 270 divisors, whose sum is σ = 1601414430. Its totient is φ = 96888960.

The previous prime is 424286099. The next prime is 424286101. The reversal of 424286100 is 1682424.

424286100 is a `hidden beast` number, since 4 + 2 + 42 + 8 + 610 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (424286099) and next prime (424286101).

It can be written as a sum of positive squares in 3 ways, for example, as 22924944 + 401361156 = 4788^2 + 20034^2 .

It is a tau number, because it is divible by the number of its divisors (270).

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 (424286101) by changing a digit.

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 89 ways as a sum of consecutive naturals, for example, 396366 + ... + 397434.

Almost surely, 2^424286100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424286100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800707215).

424286100 is an abundant number, since it is smaller than the sum of its proper divisors (1177128330).

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

424286100 is a wasteful number, since it uses less digits than its factorization.

424286100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 424286100 is about 20598.2062325825. The cubic root of 424286100 is about 751.4260866505.

The spelling of 424286100 in words is "four hundred twenty-four million, two hundred eighty-six thousand, one hundred".