385448040 has 48 divisors (see below), whose sum is σ = 1252707300. Its totient is φ = 102786048.

The previous prime is 385448023. The next prime is 385448057. The reversal of 385448040 is 40844583.

385448040 is a `hidden beast` number, since 38 + 544 + 80 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (385448023) and next prime (385448057).

It can be written as a sum of positive squares in 2 ways, for example, as 359254116 + 26193924 = 18954^2 + 5118^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 385447986 and 385448004.

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, 534985 + ... + 535704.

Almost surely, 2^385448040 is an apocalyptic number.

385448040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

385448040 is an abundant number, since it is smaller than the sum of its proper divisors (867259260).

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

385448040 is a wasteful number, since it uses less digits than its factorization.

385448040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070706 (or 1070699 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 385448040 is about 19632.8306670230. The cubic root of 385448040 is about 727.7607242064.

The spelling of 385448040 in words is "three hundred eighty-five million, four hundred forty-eight thousand, forty".