426528480 has 96 divisors (see below), whose sum is σ = 1535514624. Its totient is φ = 97491456.

The previous prime is 426528467. The next prime is 426528493. The reversal of 426528480 is 84825624.

It is an interprime number because it is at equal distance from previous prime (426528467) and next prime (426528493).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×426528480² = 363853088502220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60112 + ... + 66831.

It is an arithmetic number, because the mean of its divisors is an integer number (15994944).

Almost surely, 2^426528480 is an apocalyptic number.

426528480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426528480 is an abundant number, since it is smaller than the sum of its proper divisors (1108986144).

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

426528480 is a wasteful number, since it uses less digits than its factorization.

426528480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126968 (or 126960 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 426528480 is about 20652.5659422746. The cubic root of 426528480 is about 752.7475401840.

It can be divided in two parts, 426 and 528480, that added together give a triangular number (528906 = T₁₀₂₈).

The spelling of 426528480 in words is "four hundred twenty-six million, five hundred twenty-eight thousand, four hundred eighty".