431669420 has 144 divisors (see below), whose sum is σ = 1173328128. Its totient is φ = 132088320.

The previous prime is 431669387. The next prime is 431669453. The reversal of 431669420 is 24966134.

It is an interprime number because it is at equal distance from previous prime (431669387) and next prime (431669453).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394394 + ... + 395486.

It is an arithmetic number, because the mean of its divisors is an integer number (8148112).

Almost surely, 2^431669420 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 431669420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586664064).

431669420 is an abundant number, since it is smaller than the sum of its proper divisors (741658708).

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

431669420 is a wasteful number, since it uses less digits than its factorization.

431669420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 431669420 is about 20776.6556500318. The cubic root of 431669420 is about 755.7597544801.

The spelling of 431669420 in words is "four hundred thirty-one million, six hundred sixty-nine thousand, four hundred twenty".