401614848 has 168 divisors, whose sum is σ = 1208475450. Its totient is φ = 133373952.

The previous prime is 401614847. The next prime is 401614849. The reversal of 401614848 is 848416104.

It is an interprime number because it is at equal distance from previous prime (401614847) and next prime (401614849).

It can be written as a sum of positive squares in only one way, i.e., 394896384 + 6718464 = 19872^2 + 2592^2 .

It is a super-2 number, since 2×401614848² = 322588972268126208, which contains 22 as substring.

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (401614847) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1492858 + ... + 1493126.

Almost surely, 2^401614848 is an apocalyptic number.

401614848 is a gapful number since it is divisible by the number (48) 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 401614848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604237725).

401614848 is an abundant number, since it is smaller than the sum of its proper divisors (806860602).

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

401614848 is an frugal number, since it uses more digits than its factorization.

401614848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 401614848 is about 20040.3305361963. The cubic root of 401614848 is about 737.7964935603.

The spelling of 401614848 in words is "four hundred one million, six hundred fourteen thousand, eight hundred forty-eight".