401215248 has 160 divisors (see below), whose sum is σ = 1385625600. Its totient is φ = 108584064.

The previous prime is 401215231. The next prime is 401215291. The reversal of 401215248 is 842512104.

401215248 is a `hidden beast` number, since 401 + 2 + 15 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53965 + ... + 60947.

It is an arithmetic number, because the mean of its divisors is an integer number (8660160).

Almost surely, 2^401215248 is an apocalyptic number.

401215248 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 401215248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692812800).

401215248 is an abundant number, since it is smaller than the sum of its proper divisors (984410352).

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

401215248 is a wasteful number, since it uses less digits than its factorization.

401215248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7026 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 401215248 is about 20030.3581595537. The cubic root of 401215248 is about 737.5517140027.

It can be divided in two parts, 40121 and 5248, that added together give a square (45369 = 213²).

The spelling of 401215248 in words is "four hundred one million, two hundred fifteen thousand, two hundred forty-eight".