42469920 has 240 divisors, whose sum is σ = 156423960. Its totient is φ = 10838016.

The previous prime is 42469919. The next prime is 42469951. The reversal of 42469920 is 2996424.

It can be written as a sum of positive squares in 4 ways, for example, as 21566736 + 20903184 = 4644^2 + 4572^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 375784 + ... + 375896.

Almost surely, 2^42469920 is an apocalyptic number.

42469920 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 42469920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78211980).

42469920 is an abundant number, since it is smaller than the sum of its proper divisors (113954040).

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

42469920 is a wasteful number, since it uses less digits than its factorization.

42469920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 42469920 is about 6516.8949661630. The cubic root of 42469920 is about 348.8942518067.

The spelling of 42469920 in words is "forty-two million, four hundred sixty-nine thousand, nine hundred twenty".