41474400 has 144 divisors (see below), whose sum is σ = 147365568. Its totient is φ = 10048000.

The previous prime is 41474399. The next prime is 41474401. The reversal of 41474400 is 447414.

It is an interprime number because it is at equal distance from previous prime (41474399) and next prime (41474401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41474401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25615 + ... + 27185.

It is an arithmetic number, because the mean of its divisors is an integer number (1023372).

Almost surely, 2^41474400 is an apocalyptic number.

41474400 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 41474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73682784).

41474400 is an abundant number, since it is smaller than the sum of its proper divisors (105891168).

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

41474400 is a wasteful number, since it uses less digits than its factorization.

41474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 41474400 is about 6440.0621115017. The cubic root of 41474400 is about 346.1465738263.

The spelling of 41474400 in words is "forty-one million, four hundred seventy-four thousand, four hundred".