424680100 has 72 divisors (see below), whose sum is σ = 998833640. Its totient is φ = 156723840.

The previous prime is 424680059. The next prime is 424680107. The reversal of 424680100 is 1086424.

It can be written as a sum of positive squares in 12 ways, for example, as 415181376 + 9498724 = 20376^2 + 3082^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (424680107) 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 23 ways as a sum of consecutive naturals, for example, 218734 + ... + 220666.

Almost surely, 2^424680100 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 424680100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499416820).

424680100 is an abundant number, since it is smaller than the sum of its proper divisors (574153540).

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

424680100 is a wasteful number, since it uses less digits than its factorization.

424680100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 424680100 is about 20607.7679528861. The cubic root of 424680100 is about 751.6586107912.

The spelling of 424680100 in words is "four hundred twenty-four million, six hundred eighty thousand, one hundred".