425940480 has 480 divisors, whose sum is σ = 1787385600. Its totient is φ = 91570176.

The previous prime is 425940469. The next prime is 425940551. The reversal of 425940480 is 84049524.

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3064251 + ... + 3064389.

It is an arithmetic number, because the mean of its divisors is an integer number (3723720).

Almost surely, 2^425940480 is an apocalyptic number.

425940480 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 425940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893692800).

425940480 is an abundant number, since it is smaller than the sum of its proper divisors (1361445120).

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

425940480 is a wasteful number, since it uses less digits than its factorization.

425940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 425940480 is about 20638.3255134713. The cubic root of 425940480 is about 752.4014756790.

425940480 divided by its sum of digits (36) gives a triangular number (11831680 = T₄₈₆₄).

The spelling of 425940480 in words is "four hundred twenty-five million, nine hundred forty thousand, four hundred eighty".