48929400 has 384 divisors, whose sum is σ = 196862400. Its totient is φ = 11059200.

The previous prime is 48929369. The next prime is 48929401. The reversal of 48929400 is 492984.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48929401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1193380 + ... + 1193420.

Almost surely, 2^48929400 is an apocalyptic number.

48929400 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 48929400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98431200).

48929400 is an abundant number, since it is smaller than the sum of its proper divisors (147933000).

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

48929400 is a wasteful number, since it uses less digits than its factorization.

48929400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 48929400 is about 6994.9553250896. The cubic root of 48929400 is about 365.7547402816.

The spelling of 48929400 in words is "forty-eight million, nine hundred twenty-nine thousand, four hundred".