407353248 has 72 divisors (see below), whose sum is σ = 1168755588. Its totient is φ = 134572032.

The previous prime is 407353189. The next prime is 407353249. The reversal of 407353248 is 842353704.

It is a happy number.

407353248 is a `hidden beast` number, since 407 + 3 + 5 + 3 + 248 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 405941904 + 1411344 = 20148^2 + 1188^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×407353248² = 331873337312299008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (407353249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26286 + ... + 38802.

Almost surely, 2^407353248 is an apocalyptic number.

407353248 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 407353248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584377794).

407353248 is an abundant number, since it is smaller than the sum of its proper divisors (761402340).

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

407353248 is a wasteful number, since it uses less digits than its factorization.

407353248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12646 (or 12635 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 407353248 is about 20182.9940296280. The cubic root of 407353248 is about 741.2938455524.

The spelling of 407353248 in words is "four hundred seven million, three hundred fifty-three thousand, two hundred forty-eight".