478149120 has 120 divisors (see below), whose sum is σ = 1656044676. Its totient is φ = 127500288.

The previous prime is 478149109. The next prime is 478149131. The reversal of 478149120 is 21941874.

It is an interprime number because it is at equal distance from previous prime (478149109) and next prime (478149131).

It can be written as a sum of positive squares in 2 ways, for example, as 464488704 + 13660416 = 21552^2 + 3696^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12664 + ... + 33416.

Almost surely, 2^478149120 is an apocalyptic number.

478149120 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 478149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828022338).

478149120 is an abundant number, since it is smaller than the sum of its proper divisors (1177895556).

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

478149120 is a wasteful number, since it uses less digits than its factorization.

478149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20782 (or 20763 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 478149120 is about 21866.6211381640. The cubic root of 478149120 is about 781.9658499443.

The spelling of 478149120 in words is "four hundred seventy-eight million, one hundred forty-nine thousand, one hundred twenty".