426516240 has 80 divisors (see below), whose sum is σ = 1333986048. Its totient is φ = 112723968.

The previous prime is 426516239. The next prime is 426516263. The reversal of 426516240 is 42615624.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×426516240² = 363832205967475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 426516198 and 426516207.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19257 + ... + 34983.

Almost surely, 2^426516240 is an apocalyptic number.

426516240 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 426516240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666993024).

426516240 is an abundant number, since it is smaller than the sum of its proper divisors (907469808).

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

426516240 is a wasteful number, since it uses less digits than its factorization.

426516240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15856 (or 15850 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 426516240 is about 20652.2696089316. The cubic root of 426516240 is about 752.7403396347.

The spelling of 426516240 in words is "four hundred twenty-six million, five hundred sixteen thousand, two hundred forty".