49401600 has 216 divisors, whose sum is σ = 170322432. Its totient is φ = 12595200.

The previous prime is 49401593. The next prime is 49401607. The reversal of 49401600 is 610494.

It is an interprime number because it is at equal distance from previous prime (49401593) and next prime (49401607).

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 (49401607) 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, 595159 + ... + 595241.

Almost surely, 2^49401600 is an apocalyptic number.

49401600 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 49401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85161216).

49401600 is an abundant number, since it is smaller than the sum of its proper divisors (120920832).

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

49401600 is a wasteful number, since it uses less digits than its factorization.

49401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 49401600 is about 7028.6271774793. The cubic root of 49401600 is about 366.9275645463.

The spelling of 49401600 in words is "forty-nine million, four hundred one thousand, six hundred".