48062400 has 336 divisors, whose sum is σ = 181416960. Its totient is φ = 11059200.

The previous prime is 48062323. The next prime is 48062407. The reversal of 48062400 is 426084.

48062400 = T₃₇₆ + T₃₇₇ + ... + T₆₉₈.

It is a super-3 number, since 3×48062400³ (a number of 24 digits) contains 333 as substring.

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 (48062407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1550385 + ... + 1550415.

Almost surely, 2^48062400 is an apocalyptic number.

48062400 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 48062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90708480).

48062400 is an abundant number, since it is smaller than the sum of its proper divisors (133354560).

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

48062400 is a wasteful number, since it uses less digits than its factorization.

48062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 48062400 is about 6932.7050997428. The cubic root of 48062400 is about 363.5815341574.

Adding to 48062400 its reverse (426084), we get a palindrome (48488484).

The spelling of 48062400 in words is "forty-eight million, sixty-two thousand, four hundred".