42462720 has 240 divisors, whose sum is σ = 156396240. Its totient is φ = 10616832.

The previous prime is 42462709. The next prime is 42462727. The reversal of 42462720 is 2726424.

42462720 = 621² + 622² + ... + 715².

It is a happy number.

42462720 is a nontrivial binomial coefficient, being equal to C(9216, 2).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42462727) 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, 437712 + ... + 437808.

It is an arithmetic number, because the mean of its divisors is an integer number (651651).

Almost surely, 2^42462720 is an apocalyptic number.

42462720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42462720 is the 9215-th triangular number and also the 4608-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78198120).

42462720 is an abundant number, since it is smaller than the sum of its proper divisors (113933520).

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

42462720 is a wasteful number, since it uses less digits than its factorization.

42462720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 42462720 is about 6516.3425324334. The cubic root of 42462720 is about 348.8745344743.

The spelling of 42462720 in words is "forty-two million, four hundred sixty-two thousand, seven hundred twenty".